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Finding the Third Proportional to 12,329.72 and 18,304.31

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Solution

The third proportional to 12,329.72 and 18,304.31 is: 27,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.72 : 18,304.31 = 18,304.31 : x
  2. Step 2: Convert to fraction form
    12,329.72/18,304.31 = 18,304.31/x
  3. Step 3: Cross multiply
    12,329.72x = 18,304.31 × 18,304.31
  4. Step 4: Simplify right side
    12,329.72x = 335,047,856.10
  5. Step 5: Solve for x
    x = 335,047,856.10/12,329.72
  6. Step 6: Final answer
    x = 27,174.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.