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Finding the Third Proportional to 20,943 and 24,615

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Solution

The third proportional to 20,943 and 24,615 is: 28,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,943 : 24,615 = 24,615 : x
  2. Step 2: Convert to fraction form
    20,943/24,615 = 24,615/x
  3. Step 3: Cross multiply
    20,943x = 24,615 × 24,615
  4. Step 4: Simplify right side
    20,943x = 605,898,225
  5. Step 5: Solve for x
    x = 605,898,225/20,943
  6. Step 6: Final answer
    x = 28,930.82

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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.