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Finding the Third Proportional to 12,761.30 and 20,252.53

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Solution

The third proportional to 12,761.30 and 20,252.53 is: 32,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.30 : 20,252.53 = 20,252.53 : x
  2. Step 2: Convert to fraction form
    12,761.30/20,252.53 = 20,252.53/x
  3. Step 3: Cross multiply
    12,761.30x = 20,252.53 × 20,252.53
  4. Step 4: Simplify right side
    12,761.30x = 410,165,022.03
  5. Step 5: Solve for x
    x = 410,165,022.03/12,761.30
  6. Step 6: Final answer
    x = 32,141.33

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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.