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Finding the Third Proportional to 3,202 and 3,710

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Solution

The third proportional to 3,202 and 3,710 is: 4,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 3,710 = 3,710 : x
  2. Step 2: Convert to fraction form
    3,202/3,710 = 3,710/x
  3. Step 3: Cross multiply
    3,202x = 3,710 × 3,710
  4. Step 4: Simplify right side
    3,202x = 13,764,100
  5. Step 5: Solve for x
    x = 13,764,100/3,202
  6. Step 6: Final answer
    x = 4,298.59

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.