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Finding the Third Proportional to 11,862.75 and 17,767.13

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Solution

The third proportional to 11,862.75 and 17,767.13 is: 26,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.75 : 17,767.13 = 17,767.13 : x
  2. Step 2: Convert to fraction form
    11,862.75/17,767.13 = 17,767.13/x
  3. Step 3: Cross multiply
    11,862.75x = 17,767.13 × 17,767.13
  4. Step 4: Simplify right side
    11,862.75x = 315,670,730.77
  5. Step 5: Solve for x
    x = 315,670,730.77/11,862.75
  6. Step 6: Final answer
    x = 26,610.25

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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.