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Finding the Third Proportional to 32,711.25 and 51,880.88

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Solution

The third proportional to 32,711.25 and 51,880.88 is: 82,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.25 : 51,880.88 = 51,880.88 : x
  2. Step 2: Convert to fraction form
    32,711.25/51,880.88 = 51,880.88/x
  3. Step 3: Cross multiply
    32,711.25x = 51,880.88 × 51,880.88
  4. Step 4: Simplify right side
    32,711.25x = 2,691,625,190.77
  5. Step 5: Solve for x
    x = 2,691,625,190.77/32,711.25
  6. Step 6: Final answer
    x = 82,284.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.