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Finding the Third Proportional to 37,471 and 56,454

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Solution

The third proportional to 37,471 and 56,454 is: 85,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471 : 56,454 = 56,454 : x
  2. Step 2: Convert to fraction form
    37,471/56,454 = 56,454/x
  3. Step 3: Cross multiply
    37,471x = 56,454 × 56,454
  4. Step 4: Simplify right side
    37,471x = 3,187,054,116
  5. Step 5: Solve for x
    x = 3,187,054,116/37,471
  6. Step 6: Final answer
    x = 85,053.88

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