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Finding the Third Proportional to 37,287 and 56,474

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Solution

The third proportional to 37,287 and 56,474 is: 85,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,287 : 56,474 = 56,474 : x
  2. Step 2: Convert to fraction form
    37,287/56,474 = 56,474/x
  3. Step 3: Cross multiply
    37,287x = 56,474 × 56,474
  4. Step 4: Simplify right side
    37,287x = 3,189,312,676
  5. Step 5: Solve for x
    x = 3,189,312,676/37,287
  6. Step 6: Final answer
    x = 85,534.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.