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Finding the Third Proportional to 7,661.14 and 16,531.59

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Solution

The third proportional to 7,661.14 and 16,531.59 is: 35,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.14 : 16,531.59 = 16,531.59 : x
  2. Step 2: Convert to fraction form
    7,661.14/16,531.59 = 16,531.59/x
  3. Step 3: Cross multiply
    7,661.14x = 16,531.59 × 16,531.59
  4. Step 4: Simplify right side
    7,661.14x = 273,293,591.92
  5. Step 5: Solve for x
    x = 273,293,591.92/7,661.14
  6. Step 6: Final answer
    x = 35,672.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.