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Finding the Third Proportional to 13,946 and 18,922

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Solution

The third proportional to 13,946 and 18,922 is: 25,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946 : 18,922 = 18,922 : x
  2. Step 2: Convert to fraction form
    13,946/18,922 = 18,922/x
  3. Step 3: Cross multiply
    13,946x = 18,922 × 18,922
  4. Step 4: Simplify right side
    13,946x = 358,042,084
  5. Step 5: Solve for x
    x = 358,042,084/13,946
  6. Step 6: Final answer
    x = 25,673.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.