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Finding the Third Proportional to 26,480 and 38,909

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Solution

The third proportional to 26,480 and 38,909 is: 57,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480 : 38,909 = 38,909 : x
  2. Step 2: Convert to fraction form
    26,480/38,909 = 38,909/x
  3. Step 3: Cross multiply
    26,480x = 38,909 × 38,909
  4. Step 4: Simplify right side
    26,480x = 1,513,910,281
  5. Step 5: Solve for x
    x = 1,513,910,281/26,480
  6. Step 6: Final answer
    x = 57,171.84

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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.