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Finding the Third Proportional to 3,732.33 and 8,165.18

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Solution

The third proportional to 3,732.33 and 8,165.18 is: 17,862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.33 : 8,165.18 = 8,165.18 : x
  2. Step 2: Convert to fraction form
    3,732.33/8,165.18 = 8,165.18/x
  3. Step 3: Cross multiply
    3,732.33x = 8,165.18 × 8,165.18
  4. Step 4: Simplify right side
    3,732.33x = 66,670,159.33
  5. Step 5: Solve for x
    x = 66,670,159.33/3,732.33
  6. Step 6: Final answer
    x = 17,862.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.