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Finding the Third Proportional to 9,464 and 22,012

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Solution

The third proportional to 9,464 and 22,012 is: 51,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 22,012 = 22,012 : x
  2. Step 2: Convert to fraction form
    9,464/22,012 = 22,012/x
  3. Step 3: Cross multiply
    9,464x = 22,012 × 22,012
  4. Step 4: Simplify right side
    9,464x = 484,528,144
  5. Step 5: Solve for x
    x = 484,528,144/9,464
  6. Step 6: Final answer
    x = 51,196.97

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.