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Finding the Third Proportional to 24,833 and 54,034

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Solution

The third proportional to 24,833 and 54,034 is: 117,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833 : 54,034 = 54,034 : x
  2. Step 2: Convert to fraction form
    24,833/54,034 = 54,034/x
  3. Step 3: Cross multiply
    24,833x = 54,034 × 54,034
  4. Step 4: Simplify right side
    24,833x = 2,919,673,156
  5. Step 5: Solve for x
    x = 2,919,673,156/24,833
  6. Step 6: Final answer
    x = 117,572.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.