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Finding the Third Proportional to 5,758.59 and 6,366.09

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Solution

The third proportional to 5,758.59 and 6,366.09 is: 7,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.59 : 6,366.09 = 6,366.09 : x
  2. Step 2: Convert to fraction form
    5,758.59/6,366.09 = 6,366.09/x
  3. Step 3: Cross multiply
    5,758.59x = 6,366.09 × 6,366.09
  4. Step 4: Simplify right side
    5,758.59x = 40,527,149.63
  5. Step 5: Solve for x
    x = 40,527,149.63/5,758.59
  6. Step 6: Final answer
    x = 7,037.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.