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Finding the Third Proportional to 2,709.70 and 4,053.16

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Solution

The third proportional to 2,709.70 and 4,053.16 is: 6,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.70 : 4,053.16 = 4,053.16 : x
  2. Step 2: Convert to fraction form
    2,709.70/4,053.16 = 4,053.16/x
  3. Step 3: Cross multiply
    2,709.70x = 4,053.16 × 4,053.16
  4. Step 4: Simplify right side
    2,709.70x = 16,428,138.92
  5. Step 5: Solve for x
    x = 16,428,138.92/2,709.70
  6. Step 6: Final answer
    x = 6,062.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.