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Finding the Third Proportional to 1,073.57 and 2,145.71

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Solution

The third proportional to 1,073.57 and 2,145.71 is: 4,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.57 : 2,145.71 = 2,145.71 : x
  2. Step 2: Convert to fraction form
    1,073.57/2,145.71 = 2,145.71/x
  3. Step 3: Cross multiply
    1,073.57x = 2,145.71 × 2,145.71
  4. Step 4: Simplify right side
    1,073.57x = 4,604,067.05
  5. Step 5: Solve for x
    x = 4,604,067.05/1,073.57
  6. Step 6: Final answer
    x = 4,288.57

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.