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Finding the Third Proportional to 22,663.13 and 49,092.75

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Solution

The third proportional to 22,663.13 and 49,092.75 is: 106,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.13 : 49,092.75 = 49,092.75 : x
  2. Step 2: Convert to fraction form
    22,663.13/49,092.75 = 49,092.75/x
  3. Step 3: Cross multiply
    22,663.13x = 49,092.75 × 49,092.75
  4. Step 4: Simplify right side
    22,663.13x = 2,410,098,102.56
  5. Step 5: Solve for x
    x = 2,410,098,102.56/22,663.13
  6. Step 6: Final answer
    x = 106,344.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.