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Finding the Third Proportional to 37,892 and 59,441

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Solution

The third proportional to 37,892 and 59,441 is: 93,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892 : 59,441 = 59,441 : x
  2. Step 2: Convert to fraction form
    37,892/59,441 = 59,441/x
  3. Step 3: Cross multiply
    37,892x = 59,441 × 59,441
  4. Step 4: Simplify right side
    37,892x = 3,533,232,481
  5. Step 5: Solve for x
    x = 3,533,232,481/37,892
  6. Step 6: Final answer
    x = 93,244.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.