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Finding the Third Proportional to 15,344 and 31,672

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Solution

The third proportional to 15,344 and 31,672 is: 65,375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344 : 31,672 = 31,672 : x
  2. Step 2: Convert to fraction form
    15,344/31,672 = 31,672/x
  3. Step 3: Cross multiply
    15,344x = 31,672 × 31,672
  4. Step 4: Simplify right side
    15,344x = 1,003,115,584
  5. Step 5: Solve for x
    x = 1,003,115,584/15,344
  6. Step 6: Final answer
    x = 65,375.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.