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Finding the Third Proportional to 15,644.39 and 22,876.17

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Solution

The third proportional to 15,644.39 and 22,876.17 is: 33,450.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.39 : 22,876.17 = 22,876.17 : x
  2. Step 2: Convert to fraction form
    15,644.39/22,876.17 = 22,876.17/x
  3. Step 3: Cross multiply
    15,644.39x = 22,876.17 × 22,876.17
  4. Step 4: Simplify right side
    15,644.39x = 523,319,239.65
  5. Step 5: Solve for x
    x = 523,319,239.65/15,644.39
  6. Step 6: Final answer
    x = 33,450.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.