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Finding the Third Proportional to 40,569 and 87,591

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Solution

The third proportional to 40,569 and 87,591 is: 189,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569 : 87,591 = 87,591 : x
  2. Step 2: Convert to fraction form
    40,569/87,591 = 87,591/x
  3. Step 3: Cross multiply
    40,569x = 87,591 × 87,591
  4. Step 4: Simplify right side
    40,569x = 7,672,183,281
  5. Step 5: Solve for x
    x = 7,672,183,281/40,569
  6. Step 6: Final answer
    x = 189,114.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.