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Finding the Third Proportional to 11,545.66 and 17,292.87

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Solution

The third proportional to 11,545.66 and 17,292.87 is: 25,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.66 : 17,292.87 = 17,292.87 : x
  2. Step 2: Convert to fraction form
    11,545.66/17,292.87 = 17,292.87/x
  3. Step 3: Cross multiply
    11,545.66x = 17,292.87 × 17,292.87
  4. Step 4: Simplify right side
    11,545.66x = 299,043,255.56
  5. Step 5: Solve for x
    x = 299,043,255.56/11,545.66
  6. Step 6: Final answer
    x = 25,900.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.