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Finding the Third Proportional to 3,076.13 and 6,736.13

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Solution

The third proportional to 3,076.13 and 6,736.13 is: 14,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.13 : 6,736.13 = 6,736.13 : x
  2. Step 2: Convert to fraction form
    3,076.13/6,736.13 = 6,736.13/x
  3. Step 3: Cross multiply
    3,076.13x = 6,736.13 × 6,736.13
  4. Step 4: Simplify right side
    3,076.13x = 45,375,380.02
  5. Step 5: Solve for x
    x = 45,375,380.02/3,076.13
  6. Step 6: Final answer
    x = 14,750.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.