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Finding the Third Proportional to 8,046.66 and 11,781.94

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Solution

The third proportional to 8,046.66 and 11,781.94 is: 17,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.66 : 11,781.94 = 11,781.94 : x
  2. Step 2: Convert to fraction form
    8,046.66/11,781.94 = 11,781.94/x
  3. Step 3: Cross multiply
    8,046.66x = 11,781.94 × 11,781.94
  4. Step 4: Simplify right side
    8,046.66x = 138,814,051.25
  5. Step 5: Solve for x
    x = 138,814,051.25/8,046.66
  6. Step 6: Final answer
    x = 17,251.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.