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Finding the Third Proportional to 9,617.25 and 15,033.38

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Solution

The third proportional to 9,617.25 and 15,033.38 is: 23,499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.25 : 15,033.38 = 15,033.38 : x
  2. Step 2: Convert to fraction form
    9,617.25/15,033.38 = 15,033.38/x
  3. Step 3: Cross multiply
    9,617.25x = 15,033.38 × 15,033.38
  4. Step 4: Simplify right side
    9,617.25x = 226,002,363.89
  5. Step 5: Solve for x
    x = 226,002,363.89/9,617.25
  6. Step 6: Final answer
    x = 23,499.69

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.