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Finding the Third Proportional to 9,487.13 and 16,174.69

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Solution

The third proportional to 9,487.13 and 16,174.69 is: 27,576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.13 : 16,174.69 = 16,174.69 : x
  2. Step 2: Convert to fraction form
    9,487.13/16,174.69 = 16,174.69/x
  3. Step 3: Cross multiply
    9,487.13x = 16,174.69 × 16,174.69
  4. Step 4: Simplify right side
    9,487.13x = 261,620,515.72
  5. Step 5: Solve for x
    x = 261,620,515.72/9,487.13
  6. Step 6: Final answer
    x = 27,576.37

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.