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Finding the Third Proportional to 24,698 and 52,338

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Solution

The third proportional to 24,698 and 52,338 is: 110,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698 : 52,338 = 52,338 : x
  2. Step 2: Convert to fraction form
    24,698/52,338 = 52,338/x
  3. Step 3: Cross multiply
    24,698x = 52,338 × 52,338
  4. Step 4: Simplify right side
    24,698x = 2,739,266,244
  5. Step 5: Solve for x
    x = 2,739,266,244/24,698
  6. Step 6: Final answer
    x = 110,910.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.