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Finding the Third Proportional to 12,665.25 and 17,557.88

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Solution

The third proportional to 12,665.25 and 17,557.88 is: 24,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.25 : 17,557.88 = 17,557.88 : x
  2. Step 2: Convert to fraction form
    12,665.25/17,557.88 = 17,557.88/x
  3. Step 3: Cross multiply
    12,665.25x = 17,557.88 × 17,557.88
  4. Step 4: Simplify right side
    12,665.25x = 308,278,974.52
  5. Step 5: Solve for x
    x = 308,278,974.52/12,665.25
  6. Step 6: Final answer
    x = 24,340.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.