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Finding the Third Proportional to 2,610.70 and 4,048.73

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Solution

The third proportional to 2,610.70 and 4,048.73 is: 6,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.70 : 4,048.73 = 4,048.73 : x
  2. Step 2: Convert to fraction form
    2,610.70/4,048.73 = 4,048.73/x
  3. Step 3: Cross multiply
    2,610.70x = 4,048.73 × 4,048.73
  4. Step 4: Simplify right side
    2,610.70x = 16,392,250.04
  5. Step 5: Solve for x
    x = 16,392,250.04/2,610.70
  6. Step 6: Final answer
    x = 6,278.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.