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Finding the Third Proportional to 10,249.59 and 15,812.19

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Solution

The third proportional to 10,249.59 and 15,812.19 is: 24,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.59 : 15,812.19 = 15,812.19 : x
  2. Step 2: Convert to fraction form
    10,249.59/15,812.19 = 15,812.19/x
  3. Step 3: Cross multiply
    10,249.59x = 15,812.19 × 15,812.19
  4. Step 4: Simplify right side
    10,249.59x = 250,025,397.07
  5. Step 5: Solve for x
    x = 250,025,397.07/10,249.59
  6. Step 6: Final answer
    x = 24,393.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.