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Finding the Third Proportional to 42,474 and 59,421

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Solution

The third proportional to 42,474 and 59,421 is: 83,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,474 : 59,421 = 59,421 : x
  2. Step 2: Convert to fraction form
    42,474/59,421 = 59,421/x
  3. Step 3: Cross multiply
    42,474x = 59,421 × 59,421
  4. Step 4: Simplify right side
    42,474x = 3,530,855,241
  5. Step 5: Solve for x
    x = 3,530,855,241/42,474
  6. Step 6: Final answer
    x = 83,129.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.