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Finding the Third Proportional to 22,674.38 and 32,239.13

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Solution

The third proportional to 22,674.38 and 32,239.13 is: 45,838.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.38 : 32,239.13 = 32,239.13 : x
  2. Step 2: Convert to fraction form
    22,674.38/32,239.13 = 32,239.13/x
  3. Step 3: Cross multiply
    22,674.38x = 32,239.13 × 32,239.13
  4. Step 4: Simplify right side
    22,674.38x = 1,039,361,180.77
  5. Step 5: Solve for x
    x = 1,039,361,180.77/22,674.38
  6. Step 6: Final answer
    x = 45,838.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.