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Finding the Third Proportional to 35,102 and 62,414

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Solution

The third proportional to 35,102 and 62,414 is: 110,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102 : 62,414 = 62,414 : x
  2. Step 2: Convert to fraction form
    35,102/62,414 = 62,414/x
  3. Step 3: Cross multiply
    35,102x = 62,414 × 62,414
  4. Step 4: Simplify right side
    35,102x = 3,895,507,396
  5. Step 5: Solve for x
    x = 3,895,507,396/35,102
  6. Step 6: Final answer
    x = 110,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.