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Finding the Third Proportional to 22,678.31 and 49,239.56

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Solution

The third proportional to 22,678.31 and 49,239.56 is: 106,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.31 : 49,239.56 = 49,239.56 : x
  2. Step 2: Convert to fraction form
    22,678.31/49,239.56 = 49,239.56/x
  3. Step 3: Cross multiply
    22,678.31x = 49,239.56 × 49,239.56
  4. Step 4: Simplify right side
    22,678.31x = 2,424,534,515.19
  5. Step 5: Solve for x
    x = 2,424,534,515.19/22,678.31
  6. Step 6: Final answer
    x = 106,909.83

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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.