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Finding the Third Proportional to 42,770 and 62,589

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Solution

The third proportional to 42,770 and 62,589 is: 91,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770 : 62,589 = 62,589 : x
  2. Step 2: Convert to fraction form
    42,770/62,589 = 62,589/x
  3. Step 3: Cross multiply
    42,770x = 62,589 × 62,589
  4. Step 4: Simplify right side
    42,770x = 3,917,382,921
  5. Step 5: Solve for x
    x = 3,917,382,921/42,770
  6. Step 6: Final answer
    x = 91,591.84

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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.