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Finding the Third Proportional to 38,313 and 59,474

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Solution

The third proportional to 38,313 and 59,474 is: 92,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313 : 59,474 = 59,474 : x
  2. Step 2: Convert to fraction form
    38,313/59,474 = 59,474/x
  3. Step 3: Cross multiply
    38,313x = 59,474 × 59,474
  4. Step 4: Simplify right side
    38,313x = 3,537,156,676
  5. Step 5: Solve for x
    x = 3,537,156,676/38,313
  6. Step 6: Final answer
    x = 92,322.62

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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.