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Finding the Third Proportional to 9,165.66 and 16,425.28

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Solution

The third proportional to 9,165.66 and 16,425.28 is: 29,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.66 : 16,425.28 = 16,425.28 : x
  2. Step 2: Convert to fraction form
    9,165.66/16,425.28 = 16,425.28/x
  3. Step 3: Cross multiply
    9,165.66x = 16,425.28 × 16,425.28
  4. Step 4: Simplify right side
    9,165.66x = 269,789,864.14
  5. Step 5: Solve for x
    x = 269,789,864.14/9,165.66
  6. Step 6: Final answer
    x = 29,434.87

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.