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Finding the Third Proportional to 10,324.13 and 15,535.13

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Solution

The third proportional to 10,324.13 and 15,535.13 is: 23,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.13 : 15,535.13 = 15,535.13 : x
  2. Step 2: Convert to fraction form
    10,324.13/15,535.13 = 15,535.13/x
  3. Step 3: Cross multiply
    10,324.13x = 15,535.13 × 15,535.13
  4. Step 4: Simplify right side
    10,324.13x = 241,340,108.77
  5. Step 5: Solve for x
    x = 241,340,108.77/10,324.13
  6. Step 6: Final answer
    x = 23,376.33

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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.