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Finding the Third Proportional to 42,551 and 59,627

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Solution

The third proportional to 42,551 and 59,627 is: 83,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,551 : 59,627 = 59,627 : x
  2. Step 2: Convert to fraction form
    42,551/59,627 = 59,627/x
  3. Step 3: Cross multiply
    42,551x = 59,627 × 59,627
  4. Step 4: Simplify right side
    42,551x = 3,555,379,129
  5. Step 5: Solve for x
    x = 3,555,379,129/42,551
  6. Step 6: Final answer
    x = 83,555.71

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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.