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Finding the Third Proportional to 20,805.75 and 24,543

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Solution

The third proportional to 20,805.75 and 24,543 is: 28,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.75 : 24,543 = 24,543 : x
  2. Step 2: Convert to fraction form
    20,805.75/24,543 = 24,543/x
  3. Step 3: Cross multiply
    20,805.75x = 24,543 × 24,543
  4. Step 4: Simplify right side
    20,805.75x = 602,358,849
  5. Step 5: Solve for x
    x = 602,358,849/20,805.75
  6. Step 6: Final answer
    x = 28,951.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.