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Finding the Third Proportional to 1,558.62 and 3,390.61

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Solution

The third proportional to 1,558.62 and 3,390.61 is: 7,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.62 : 3,390.61 = 3,390.61 : x
  2. Step 2: Convert to fraction form
    1,558.62/3,390.61 = 3,390.61/x
  3. Step 3: Cross multiply
    1,558.62x = 3,390.61 × 3,390.61
  4. Step 4: Simplify right side
    1,558.62x = 11,496,231.93
  5. Step 5: Solve for x
    x = 11,496,231.93/1,558.62
  6. Step 6: Final answer
    x = 7,375.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.