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Finding the Third Proportional to 39,687 and 52,908

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Solution

The third proportional to 39,687 and 52,908 is: 70,533.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,687 : 52,908 = 52,908 : x
  2. Step 2: Convert to fraction form
    39,687/52,908 = 52,908/x
  3. Step 3: Cross multiply
    39,687x = 52,908 × 52,908
  4. Step 4: Simplify right side
    39,687x = 2,799,256,464
  5. Step 5: Solve for x
    x = 2,799,256,464/39,687
  6. Step 6: Final answer
    x = 70,533.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.