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Finding the Third Proportional to 13,331.25 and 30,862.69

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Solution

The third proportional to 13,331.25 and 30,862.69 is: 71,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.25 : 30,862.69 = 30,862.69 : x
  2. Step 2: Convert to fraction form
    13,331.25/30,862.69 = 30,862.69/x
  3. Step 3: Cross multiply
    13,331.25x = 30,862.69 × 30,862.69
  4. Step 4: Simplify right side
    13,331.25x = 952,505,479.72
  5. Step 5: Solve for x
    x = 952,505,479.72/13,331.25
  6. Step 6: Final answer
    x = 71,449.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.