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Finding the Third Proportional to 6,972.96 and 10,766.99

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Solution

The third proportional to 6,972.96 and 10,766.99 is: 16,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.96 : 10,766.99 = 10,766.99 : x
  2. Step 2: Convert to fraction form
    6,972.96/10,766.99 = 10,766.99/x
  3. Step 3: Cross multiply
    6,972.96x = 10,766.99 × 10,766.99
  4. Step 4: Simplify right side
    6,972.96x = 115,928,036.65
  5. Step 5: Solve for x
    x = 115,928,036.65/6,972.96
  6. Step 6: Final answer
    x = 16,625.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.