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Finding the Third Proportional to 41,766.75 and 87,634.13

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Solution

The third proportional to 41,766.75 and 87,634.13 is: 183,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766.75 : 87,634.13 = 87,634.13 : x
  2. Step 2: Convert to fraction form
    41,766.75/87,634.13 = 87,634.13/x
  3. Step 3: Cross multiply
    41,766.75x = 87,634.13 × 87,634.13
  4. Step 4: Simplify right side
    41,766.75x = 7,679,739,864.52
  5. Step 5: Solve for x
    x = 7,679,739,864.52/41,766.75
  6. Step 6: Final answer
    x = 183,872.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.