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Finding the Third Proportional to 9,464 and 13,922

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Solution

The third proportional to 9,464 and 13,922 is: 20,479.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 13,922 = 13,922 : x
  2. Step 2: Convert to fraction form
    9,464/13,922 = 13,922/x
  3. Step 3: Cross multiply
    9,464x = 13,922 × 13,922
  4. Step 4: Simplify right side
    9,464x = 193,822,084
  5. Step 5: Solve for x
    x = 193,822,084/9,464
  6. Step 6: Final answer
    x = 20,479.93

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.