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Finding the Third Proportional to 1,496.60 and 3,287.46

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Solution

The third proportional to 1,496.60 and 3,287.46 is: 7,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.60 : 3,287.46 = 3,287.46 : x
  2. Step 2: Convert to fraction form
    1,496.60/3,287.46 = 3,287.46/x
  3. Step 3: Cross multiply
    1,496.60x = 3,287.46 × 3,287.46
  4. Step 4: Simplify right side
    1,496.60x = 10,807,399.42
  5. Step 5: Solve for x
    x = 10,807,399.42/1,496.60
  6. Step 6: Final answer
    x = 7,221.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.