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Finding the Third Proportional to 11,531 and 25,213

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Solution

The third proportional to 11,531 and 25,213 is: 55,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531 : 25,213 = 25,213 : x
  2. Step 2: Convert to fraction form
    11,531/25,213 = 25,213/x
  3. Step 3: Cross multiply
    11,531x = 25,213 × 25,213
  4. Step 4: Simplify right side
    11,531x = 635,695,369
  5. Step 5: Solve for x
    x = 635,695,369/11,531
  6. Step 6: Final answer
    x = 55,129.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.