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Finding the Third Proportional to 15,589.13 and 32,097.38

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Solution

The third proportional to 15,589.13 and 32,097.38 is: 66,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.13 : 32,097.38 = 32,097.38 : x
  2. Step 2: Convert to fraction form
    15,589.13/32,097.38 = 32,097.38/x
  3. Step 3: Cross multiply
    15,589.13x = 32,097.38 × 32,097.38
  4. Step 4: Simplify right side
    15,589.13x = 1,030,241,481.89
  5. Step 5: Solve for x
    x = 1,030,241,481.89/15,589.13
  6. Step 6: Final answer
    x = 66,087.19

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.