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Finding the Third Proportional to 42,708 and 62,416

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Solution

The third proportional to 42,708 and 62,416 is: 91,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,708 : 62,416 = 62,416 : x
  2. Step 2: Convert to fraction form
    42,708/62,416 = 62,416/x
  3. Step 3: Cross multiply
    42,708x = 62,416 × 62,416
  4. Step 4: Simplify right side
    42,708x = 3,895,757,056
  5. Step 5: Solve for x
    x = 3,895,757,056/42,708
  6. Step 6: Final answer
    x = 91,218.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.