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Finding the Third Proportional to 24,598 and 52,779

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Solution

The third proportional to 24,598 and 52,779 is: 113,245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 52,779 = 52,779 : x
  2. Step 2: Convert to fraction form
    24,598/52,779 = 52,779/x
  3. Step 3: Cross multiply
    24,598x = 52,779 × 52,779
  4. Step 4: Simplify right side
    24,598x = 2,785,622,841
  5. Step 5: Solve for x
    x = 2,785,622,841/24,598
  6. Step 6: Final answer
    x = 113,245.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.