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Finding the Third Proportional to 24,989 and 52,766

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Solution

The third proportional to 24,989 and 52,766 is: 111,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,989 : 52,766 = 52,766 : x
  2. Step 2: Convert to fraction form
    24,989/52,766 = 52,766/x
  3. Step 3: Cross multiply
    24,989x = 52,766 × 52,766
  4. Step 4: Simplify right side
    24,989x = 2,784,250,756
  5. Step 5: Solve for x
    x = 2,784,250,756/24,989
  6. Step 6: Final answer
    x = 111,419.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.