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Finding the Third Proportional to 10,350.28 and 15,531.12

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Solution

The third proportional to 10,350.28 and 15,531.12 is: 23,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.28 : 15,531.12 = 15,531.12 : x
  2. Step 2: Convert to fraction form
    10,350.28/15,531.12 = 15,531.12/x
  3. Step 3: Cross multiply
    10,350.28x = 15,531.12 × 15,531.12
  4. Step 4: Simplify right side
    10,350.28x = 241,215,601.09
  5. Step 5: Solve for x
    x = 241,215,601.09/10,350.28
  6. Step 6: Final answer
    x = 23,305.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.