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Finding the Third Proportional to 15,092.25 and 22,182.75

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Solution

The third proportional to 15,092.25 and 22,182.75 is: 32,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.25 : 22,182.75 = 22,182.75 : x
  2. Step 2: Convert to fraction form
    15,092.25/22,182.75 = 22,182.75/x
  3. Step 3: Cross multiply
    15,092.25x = 22,182.75 × 22,182.75
  4. Step 4: Simplify right side
    15,092.25x = 492,074,397.56
  5. Step 5: Solve for x
    x = 492,074,397.56/15,092.25
  6. Step 6: Final answer
    x = 32,604.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.