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Finding the Third Proportional to 2,568.59 and 5,575.71

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Solution

The third proportional to 2,568.59 and 5,575.71 is: 12,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.59 : 5,575.71 = 5,575.71 : x
  2. Step 2: Convert to fraction form
    2,568.59/5,575.71 = 5,575.71/x
  3. Step 3: Cross multiply
    2,568.59x = 5,575.71 × 5,575.71
  4. Step 4: Simplify right side
    2,568.59x = 31,088,552.46
  5. Step 5: Solve for x
    x = 31,088,552.46/2,568.59
  6. Step 6: Final answer
    x = 12,103.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.