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Finding the Third Proportional to 1,018.27 and 1,532.04

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Solution

The third proportional to 1,018.27 and 1,532.04 is: 2,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.27 : 1,532.04 = 1,532.04 : x
  2. Step 2: Convert to fraction form
    1,018.27/1,532.04 = 1,532.04/x
  3. Step 3: Cross multiply
    1,018.27x = 1,532.04 × 1,532.04
  4. Step 4: Simplify right side
    1,018.27x = 2,347,143.69
  5. Step 5: Solve for x
    x = 2,347,143.69/1,018.27
  6. Step 6: Final answer
    x = 2,305.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.