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Finding the Third Proportional to 3,966.75 and 9,165.38

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Solution

The third proportional to 3,966.75 and 9,165.38 is: 21,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.75 : 9,165.38 = 9,165.38 : x
  2. Step 2: Convert to fraction form
    3,966.75/9,165.38 = 9,165.38/x
  3. Step 3: Cross multiply
    3,966.75x = 9,165.38 × 9,165.38
  4. Step 4: Simplify right side
    3,966.75x = 84,004,098.89
  5. Step 5: Solve for x
    x = 84,004,098.89/3,966.75
  6. Step 6: Final answer
    x = 21,177.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.