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Finding the Third Proportional to 37,842 and 58,554

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Solution

The third proportional to 37,842 and 58,554 is: 90,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 58,554 = 58,554 : x
  2. Step 2: Convert to fraction form
    37,842/58,554 = 58,554/x
  3. Step 3: Cross multiply
    37,842x = 58,554 × 58,554
  4. Step 4: Simplify right side
    37,842x = 3,428,570,916
  5. Step 5: Solve for x
    x = 3,428,570,916/37,842
  6. Step 6: Final answer
    x = 90,602.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.