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Finding the Third Proportional to 8,102.11 and 12,498.89

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Solution

The third proportional to 8,102.11 and 12,498.89 is: 19,281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.11 : 12,498.89 = 12,498.89 : x
  2. Step 2: Convert to fraction form
    8,102.11/12,498.89 = 12,498.89/x
  3. Step 3: Cross multiply
    8,102.11x = 12,498.89 × 12,498.89
  4. Step 4: Simplify right side
    8,102.11x = 156,222,266.86
  5. Step 5: Solve for x
    x = 156,222,266.86/8,102.11
  6. Step 6: Final answer
    x = 19,281.68

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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.