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Finding the Third Proportional to 37,791 and 56,489

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Solution

The third proportional to 37,791 and 56,489 is: 84,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,791 : 56,489 = 56,489 : x
  2. Step 2: Convert to fraction form
    37,791/56,489 = 56,489/x
  3. Step 3: Cross multiply
    37,791x = 56,489 × 56,489
  4. Step 4: Simplify right side
    37,791x = 3,191,007,121
  5. Step 5: Solve for x
    x = 3,191,007,121/37,791
  6. Step 6: Final answer
    x = 84,438.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.