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Finding the Third Proportional to 1,275.75 and 7,472.25

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Solution

The third proportional to 1,275.75 and 7,472.25 is: 43,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.75 : 7,472.25 = 7,472.25 : x
  2. Step 2: Convert to fraction form
    1,275.75/7,472.25 = 7,472.25/x
  3. Step 3: Cross multiply
    1,275.75x = 7,472.25 × 7,472.25
  4. Step 4: Simplify right side
    1,275.75x = 55,834,520.06
  5. Step 5: Solve for x
    x = 55,834,520.06/1,275.75
  6. Step 6: Final answer
    x = 43,766.04

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These problems maintain the same ratio (5.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.