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Finding the Third Proportional to 12,691.50 and 18,669.38

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Solution

The third proportional to 12,691.50 and 18,669.38 is: 27,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.50 : 18,669.38 = 18,669.38 : x
  2. Step 2: Convert to fraction form
    12,691.50/18,669.38 = 18,669.38/x
  3. Step 3: Cross multiply
    12,691.50x = 18,669.38 × 18,669.38
  4. Step 4: Simplify right side
    12,691.50x = 348,545,562.89
  5. Step 5: Solve for x
    x = 348,545,562.89/12,691.50
  6. Step 6: Final answer
    x = 27,462.91

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