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Finding the Third Proportional to 8,740.13 and 11,540.25

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Solution

The third proportional to 8,740.13 and 11,540.25 is: 15,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740.13 : 11,540.25 = 11,540.25 : x
  2. Step 2: Convert to fraction form
    8,740.13/11,540.25 = 11,540.25/x
  3. Step 3: Cross multiply
    8,740.13x = 11,540.25 × 11,540.25
  4. Step 4: Simplify right side
    8,740.13x = 133,177,370.06
  5. Step 5: Solve for x
    x = 133,177,370.06/8,740.13
  6. Step 6: Final answer
    x = 15,237.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.