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Finding the Third Proportional to 6,819.75 and 10,531.13

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Solution

The third proportional to 6,819.75 and 10,531.13 is: 16,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.75 : 10,531.13 = 10,531.13 : x
  2. Step 2: Convert to fraction form
    6,819.75/10,531.13 = 10,531.13/x
  3. Step 3: Cross multiply
    6,819.75x = 10,531.13 × 10,531.13
  4. Step 4: Simplify right side
    6,819.75x = 110,904,593.77
  5. Step 5: Solve for x
    x = 110,904,593.77/6,819.75
  6. Step 6: Final answer
    x = 16,262.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.