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Finding the Third Proportional to 24,818 and 34,491

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Solution

The third proportional to 24,818 and 34,491 is: 47,934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818 : 34,491 = 34,491 : x
  2. Step 2: Convert to fraction form
    24,818/34,491 = 34,491/x
  3. Step 3: Cross multiply
    24,818x = 34,491 × 34,491
  4. Step 4: Simplify right side
    24,818x = 1,189,629,081
  5. Step 5: Solve for x
    x = 1,189,629,081/24,818
  6. Step 6: Final answer
    x = 47,934.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.