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Finding the Third Proportional to 3,778.31 and 8,056.13

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Solution

The third proportional to 3,778.31 and 8,056.13 is: 17,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.31 : 8,056.13 = 8,056.13 : x
  2. Step 2: Convert to fraction form
    3,778.31/8,056.13 = 8,056.13/x
  3. Step 3: Cross multiply
    3,778.31x = 8,056.13 × 8,056.13
  4. Step 4: Simplify right side
    3,778.31x = 64,901,150.02
  5. Step 5: Solve for x
    x = 64,901,150.02/3,778.31
  6. Step 6: Final answer
    x = 17,177.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.