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Finding the Third Proportional to 12,657.09 and 18,882.28

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Solution

The third proportional to 12,657.09 and 18,882.28 is: 28,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.09 : 18,882.28 = 18,882.28 : x
  2. Step 2: Convert to fraction form
    12,657.09/18,882.28 = 18,882.28/x
  3. Step 3: Cross multiply
    12,657.09x = 18,882.28 × 18,882.28
  4. Step 4: Simplify right side
    12,657.09x = 356,540,545.20
  5. Step 5: Solve for x
    x = 356,540,545.20/12,657.09
  6. Step 6: Final answer
    x = 28,169.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.