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Finding the Third Proportional to 24,598 and 52,778

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Solution

The third proportional to 24,598 and 52,778 is: 113,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 52,778 = 52,778 : x
  2. Step 2: Convert to fraction form
    24,598/52,778 = 52,778/x
  3. Step 3: Cross multiply
    24,598x = 52,778 × 52,778
  4. Step 4: Simplify right side
    24,598x = 2,785,517,284
  5. Step 5: Solve for x
    x = 2,785,517,284/24,598
  6. Step 6: Final answer
    x = 113,241.62

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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.