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Finding the Third Proportional to 3,202 and 7,410.50

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Solution

The third proportional to 3,202 and 7,410.50 is: 17,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 7,410.50 = 7,410.50 : x
  2. Step 2: Convert to fraction form
    3,202/7,410.50 = 7,410.50/x
  3. Step 3: Cross multiply
    3,202x = 7,410.50 × 7,410.50
  4. Step 4: Simplify right side
    3,202x = 54,915,510.25
  5. Step 5: Solve for x
    x = 54,915,510.25/3,202
  6. Step 6: Final answer
    x = 17,150.38

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.