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Finding the Third Proportional to 22,744.13 and 49,042.13

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Solution

The third proportional to 22,744.13 and 49,042.13 is: 105,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.13 : 49,042.13 = 49,042.13 : x
  2. Step 2: Convert to fraction form
    22,744.13/49,042.13 = 49,042.13/x
  3. Step 3: Cross multiply
    22,744.13x = 49,042.13 × 49,042.13
  4. Step 4: Simplify right side
    22,744.13x = 2,405,130,024.52
  5. Step 5: Solve for x
    x = 2,405,130,024.52/22,744.13
  6. Step 6: Final answer
    x = 105,747.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.