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Finding the Third Proportional to 9,129.38 and 13,449.38

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Solution

The third proportional to 9,129.38 and 13,449.38 is: 19,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.38 : 13,449.38 = 13,449.38 : x
  2. Step 2: Convert to fraction form
    9,129.38/13,449.38 = 13,449.38/x
  3. Step 3: Cross multiply
    9,129.38x = 13,449.38 × 13,449.38
  4. Step 4: Simplify right side
    9,129.38x = 180,885,687.89
  5. Step 5: Solve for x
    x = 180,885,687.89/9,129.38
  6. Step 6: Final answer
    x = 19,813.59

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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.