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Finding the Third Proportional to 6,531.47 and 9,811.97

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Solution

The third proportional to 6,531.47 and 9,811.97 is: 14,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.47 : 9,811.97 = 9,811.97 : x
  2. Step 2: Convert to fraction form
    6,531.47/9,811.97 = 9,811.97/x
  3. Step 3: Cross multiply
    6,531.47x = 9,811.97 × 9,811.97
  4. Step 4: Simplify right side
    6,531.47x = 96,274,730.75
  5. Step 5: Solve for x
    x = 96,274,730.75/6,531.47
  6. Step 6: Final answer
    x = 14,740.13

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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.