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Finding the Third Proportional to 6,972.75 and 15,450.75

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Solution

The third proportional to 6,972.75 and 15,450.75 is: 34,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 15,450.75 = 15,450.75 : x
  2. Step 2: Convert to fraction form
    6,972.75/15,450.75 = 15,450.75/x
  3. Step 3: Cross multiply
    6,972.75x = 15,450.75 × 15,450.75
  4. Step 4: Simplify right side
    6,972.75x = 238,725,675.56
  5. Step 5: Solve for x
    x = 238,725,675.56/6,972.75
  6. Step 6: Final answer
    x = 34,236.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.