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Finding the Third Proportional to 34,098 and 54,731

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Solution

The third proportional to 34,098 and 54,731 is: 87,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098 : 54,731 = 54,731 : x
  2. Step 2: Convert to fraction form
    34,098/54,731 = 54,731/x
  3. Step 3: Cross multiply
    34,098x = 54,731 × 54,731
  4. Step 4: Simplify right side
    34,098x = 2,995,482,361
  5. Step 5: Solve for x
    x = 2,995,482,361/34,098
  6. Step 6: Final answer
    x = 87,849.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.