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Finding the Third Proportional to 11,854.13 and 17,812.69

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Solution

The third proportional to 11,854.13 and 17,812.69 is: 26,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.13 : 17,812.69 = 17,812.69 : x
  2. Step 2: Convert to fraction form
    11,854.13/17,812.69 = 17,812.69/x
  3. Step 3: Cross multiply
    11,854.13x = 17,812.69 × 17,812.69
  4. Step 4: Simplify right side
    11,854.13x = 317,291,835.97
  5. Step 5: Solve for x
    x = 317,291,835.97/11,854.13
  6. Step 6: Final answer
    x = 26,766.36

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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.