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Finding the Third Proportional to 7,753.25 and 16,819.25

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Solution

The third proportional to 7,753.25 and 16,819.25 is: 36,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.25 : 16,819.25 = 16,819.25 : x
  2. Step 2: Convert to fraction form
    7,753.25/16,819.25 = 16,819.25/x
  3. Step 3: Cross multiply
    7,753.25x = 16,819.25 × 16,819.25
  4. Step 4: Simplify right side
    7,753.25x = 282,887,170.56
  5. Step 5: Solve for x
    x = 282,887,170.56/7,753.25
  6. Step 6: Final answer
    x = 36,486.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.