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Finding the Third Proportional to 5,017.57 and 7,512.12

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Solution

The third proportional to 5,017.57 and 7,512.12 is: 11,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.57 : 7,512.12 = 7,512.12 : x
  2. Step 2: Convert to fraction form
    5,017.57/7,512.12 = 7,512.12/x
  3. Step 3: Cross multiply
    5,017.57x = 7,512.12 × 7,512.12
  4. Step 4: Simplify right side
    5,017.57x = 56,431,904.64
  5. Step 5: Solve for x
    x = 56,431,904.64/5,017.57
  6. Step 6: Final answer
    x = 11,246.86

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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.