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Finding the Third Proportional to 12,078.49 and 18,061.73

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Solution

The third proportional to 12,078.49 and 18,061.73 is: 27,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.49 : 18,061.73 = 18,061.73 : x
  2. Step 2: Convert to fraction form
    12,078.49/18,061.73 = 18,061.73/x
  3. Step 3: Cross multiply
    12,078.49x = 18,061.73 × 18,061.73
  4. Step 4: Simplify right side
    12,078.49x = 326,226,248.63
  5. Step 5: Solve for x
    x = 326,226,248.63/12,078.49
  6. Step 6: Final answer
    x = 27,008.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.