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Finding the Third Proportional to 24,536 and 52,338

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Solution

The third proportional to 24,536 and 52,338 is: 111,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536 : 52,338 = 52,338 : x
  2. Step 2: Convert to fraction form
    24,536/52,338 = 52,338/x
  3. Step 3: Cross multiply
    24,536x = 52,338 × 52,338
  4. Step 4: Simplify right side
    24,536x = 2,739,266,244
  5. Step 5: Solve for x
    x = 2,739,266,244/24,536
  6. Step 6: Final answer
    x = 111,642.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.