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Finding the Third Proportional to 5,031.75 and 7,631.25

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Solution

The third proportional to 5,031.75 and 7,631.25 is: 11,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.75 : 7,631.25 = 7,631.25 : x
  2. Step 2: Convert to fraction form
    5,031.75/7,631.25 = 7,631.25/x
  3. Step 3: Cross multiply
    5,031.75x = 7,631.25 × 7,631.25
  4. Step 4: Simplify right side
    5,031.75x = 58,235,976.56
  5. Step 5: Solve for x
    x = 58,235,976.56/5,031.75
  6. Step 6: Final answer
    x = 11,573.70

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.