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Finding the Third Proportional to 12,545.59 and 18,471.84

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Solution

The third proportional to 12,545.59 and 18,471.84 is: 27,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.59 : 18,471.84 = 18,471.84 : x
  2. Step 2: Convert to fraction form
    12,545.59/18,471.84 = 18,471.84/x
  3. Step 3: Cross multiply
    12,545.59x = 18,471.84 × 18,471.84
  4. Step 4: Simplify right side
    12,545.59x = 341,208,740.94
  5. Step 5: Solve for x
    x = 341,208,740.94/12,545.59
  6. Step 6: Final answer
    x = 27,197.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.