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Finding the Third Proportional to 10,324.13 and 22,663.13

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Solution

The third proportional to 10,324.13 and 22,663.13 is: 49,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.13 : 22,663.13 = 22,663.13 : x
  2. Step 2: Convert to fraction form
    10,324.13/22,663.13 = 22,663.13/x
  3. Step 3: Cross multiply
    10,324.13x = 22,663.13 × 22,663.13
  4. Step 4: Simplify right side
    10,324.13x = 513,617,234.77
  5. Step 5: Solve for x
    x = 513,617,234.77/10,324.13
  6. Step 6: Final answer
    x = 49,749.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.