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Finding the Third Proportional to 3,961.13 and 6,080.63

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Solution

The third proportional to 3,961.13 and 6,080.63 is: 9,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.13 : 6,080.63 = 6,080.63 : x
  2. Step 2: Convert to fraction form
    3,961.13/6,080.63 = 6,080.63/x
  3. Step 3: Cross multiply
    3,961.13x = 6,080.63 × 6,080.63
  4. Step 4: Simplify right side
    3,961.13x = 36,974,000.39
  5. Step 5: Solve for x
    x = 36,974,000.39/3,961.13
  6. Step 6: Final answer
    x = 9,334.22

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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.