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Finding the Third Proportional to 24,531 and 52,010

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Solution

The third proportional to 24,531 and 52,010 is: 110,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,531 : 52,010 = 52,010 : x
  2. Step 2: Convert to fraction form
    24,531/52,010 = 52,010/x
  3. Step 3: Cross multiply
    24,531x = 52,010 × 52,010
  4. Step 4: Simplify right side
    24,531x = 2,705,040,100
  5. Step 5: Solve for x
    x = 2,705,040,100/24,531
  6. Step 6: Final answer
    x = 110,270.27

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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.