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Finding the Third Proportional to 1,558 and 3,439.88

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Solution

The third proportional to 1,558 and 3,439.88 is: 7,594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558 : 3,439.88 = 3,439.88 : x
  2. Step 2: Convert to fraction form
    1,558/3,439.88 = 3,439.88/x
  3. Step 3: Cross multiply
    1,558x = 3,439.88 × 3,439.88
  4. Step 4: Simplify right side
    1,558x = 11,832,740.02
  5. Step 5: Solve for x
    x = 11,832,740.02/1,558
  6. Step 6: Final answer
    x = 7,594.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.