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Finding the Third Proportional to 3,687.75 and 8,470.13

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Solution

The third proportional to 3,687.75 and 8,470.13 is: 19,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.75 : 8,470.13 = 8,470.13 : x
  2. Step 2: Convert to fraction form
    3,687.75/8,470.13 = 8,470.13/x
  3. Step 3: Cross multiply
    3,687.75x = 8,470.13 × 8,470.13
  4. Step 4: Simplify right side
    3,687.75x = 71,743,017.52
  5. Step 5: Solve for x
    x = 71,743,017.52/3,687.75
  6. Step 6: Final answer
    x = 19,454.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.