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Finding the Third Proportional to 1,575.18 and 2,145.97

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Solution

The third proportional to 1,575.18 and 2,145.97 is: 2,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.18 : 2,145.97 = 2,145.97 : x
  2. Step 2: Convert to fraction form
    1,575.18/2,145.97 = 2,145.97/x
  3. Step 3: Cross multiply
    1,575.18x = 2,145.97 × 2,145.97
  4. Step 4: Simplify right side
    1,575.18x = 4,605,198.64
  5. Step 5: Solve for x
    x = 4,605,198.64/1,575.18
  6. Step 6: Final answer
    x = 2,923.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.