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Finding the Third Proportional to 12,557.25 and 17,053.88

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Solution

The third proportional to 12,557.25 and 17,053.88 is: 23,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.25 : 17,053.88 = 17,053.88 : x
  2. Step 2: Convert to fraction form
    12,557.25/17,053.88 = 17,053.88/x
  3. Step 3: Cross multiply
    12,557.25x = 17,053.88 × 17,053.88
  4. Step 4: Simplify right side
    12,557.25x = 290,834,652.52
  5. Step 5: Solve for x
    x = 290,834,652.52/12,557.25
  6. Step 6: Final answer
    x = 23,160.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.