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Finding the Third Proportional to 1,566.57 and 3,377.68

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Solution

The third proportional to 1,566.57 and 3,377.68 is: 7,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.57 : 3,377.68 = 3,377.68 : x
  2. Step 2: Convert to fraction form
    1,566.57/3,377.68 = 3,377.68/x
  3. Step 3: Cross multiply
    1,566.57x = 3,377.68 × 3,377.68
  4. Step 4: Simplify right side
    1,566.57x = 11,408,696.98
  5. Step 5: Solve for x
    x = 11,408,696.98/1,566.57
  6. Step 6: Final answer
    x = 7,282.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.