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Finding the Third Proportional to 8,074.13 and 11,791.13

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Solution

The third proportional to 8,074.13 and 11,791.13 is: 17,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.13 : 11,791.13 = 11,791.13 : x
  2. Step 2: Convert to fraction form
    8,074.13/11,791.13 = 11,791.13/x
  3. Step 3: Cross multiply
    8,074.13x = 11,791.13 × 11,791.13
  4. Step 4: Simplify right side
    8,074.13x = 139,030,628.77
  5. Step 5: Solve for x
    x = 139,030,628.77/8,074.13
  6. Step 6: Final answer
    x = 17,219.28

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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.