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Finding the Third Proportional to 24,072 and 52,793

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Solution

The third proportional to 24,072 and 52,793 is: 115,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,072 : 52,793 = 52,793 : x
  2. Step 2: Convert to fraction form
    24,072/52,793 = 52,793/x
  3. Step 3: Cross multiply
    24,072x = 52,793 × 52,793
  4. Step 4: Simplify right side
    24,072x = 2,787,100,849
  5. Step 5: Solve for x
    x = 2,787,100,849/24,072
  6. Step 6: Final answer
    x = 115,781.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.