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Finding the Third Proportional to 8,245.13 and 16,077.66

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Solution

The third proportional to 8,245.13 and 16,077.66 is: 31,350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.13 : 16,077.66 = 16,077.66 : x
  2. Step 2: Convert to fraction form
    8,245.13/16,077.66 = 16,077.66/x
  3. Step 3: Cross multiply
    8,245.13x = 16,077.66 × 16,077.66
  4. Step 4: Simplify right side
    8,245.13x = 258,491,030.49
  5. Step 5: Solve for x
    x = 258,491,030.49/8,245.13
  6. Step 6: Final answer
    x = 31,350.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.