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Finding the Third Proportional to 3,170 and 4,206.50

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Solution

The third proportional to 3,170 and 4,206.50 is: 5,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,206.50 = 4,206.50 : x
  2. Step 2: Convert to fraction form
    3,170/4,206.50 = 4,206.50/x
  3. Step 3: Cross multiply
    3,170x = 4,206.50 × 4,206.50
  4. Step 4: Simplify right side
    3,170x = 17,694,642.25
  5. Step 5: Solve for x
    x = 17,694,642.25/3,170
  6. Step 6: Final answer
    x = 5,581.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.