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Finding the Third Proportional to 7,229.25 and 15,617.81

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Solution

The third proportional to 7,229.25 and 15,617.81 is: 33,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.25 : 15,617.81 = 15,617.81 : x
  2. Step 2: Convert to fraction form
    7,229.25/15,617.81 = 15,617.81/x
  3. Step 3: Cross multiply
    7,229.25x = 15,617.81 × 15,617.81
  4. Step 4: Simplify right side
    7,229.25x = 243,916,067.29
  5. Step 5: Solve for x
    x = 243,916,067.29/7,229.25
  6. Step 6: Final answer
    x = 33,740.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.