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Finding the Third Proportional to 39,102 and 62,960

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Solution

The third proportional to 39,102 and 62,960 is: 101,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102 : 62,960 = 62,960 : x
  2. Step 2: Convert to fraction form
    39,102/62,960 = 62,960/x
  3. Step 3: Cross multiply
    39,102x = 62,960 × 62,960
  4. Step 4: Simplify right side
    39,102x = 3,963,961,600
  5. Step 5: Solve for x
    x = 3,963,961,600/39,102
  6. Step 6: Final answer
    x = 101,374.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.