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Finding the Third Proportional to 3,778.13 and 8,141.06

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Solution

The third proportional to 3,778.13 and 8,141.06 is: 17,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.13 : 8,141.06 = 8,141.06 : x
  2. Step 2: Convert to fraction form
    3,778.13/8,141.06 = 8,141.06/x
  3. Step 3: Cross multiply
    3,778.13x = 8,141.06 × 8,141.06
  4. Step 4: Simplify right side
    3,778.13x = 66,276,898.63
  5. Step 5: Solve for x
    x = 66,276,898.63/3,778.13
  6. Step 6: Final answer
    x = 17,542.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.