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Finding the Third Proportional to 20,543.25 and 29,356.88

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Solution

The third proportional to 20,543.25 and 29,356.88 is: 41,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.25 : 29,356.88 = 29,356.88 : x
  2. Step 2: Convert to fraction form
    20,543.25/29,356.88 = 29,356.88/x
  3. Step 3: Cross multiply
    20,543.25x = 29,356.88 × 29,356.88
  4. Step 4: Simplify right side
    20,543.25x = 861,826,109.77
  5. Step 5: Solve for x
    x = 861,826,109.77/20,543.25
  6. Step 6: Final answer
    x = 41,951.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.