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Finding the Third Proportional to 6,891.75 and 10,952.72

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Solution

The third proportional to 6,891.75 and 10,952.72 is: 17,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.75 : 10,952.72 = 10,952.72 : x
  2. Step 2: Convert to fraction form
    6,891.75/10,952.72 = 10,952.72/x
  3. Step 3: Cross multiply
    6,891.75x = 10,952.72 × 10,952.72
  4. Step 4: Simplify right side
    6,891.75x = 119,962,048.02
  5. Step 5: Solve for x
    x = 119,962,048.02/6,891.75
  6. Step 6: Final answer
    x = 17,406.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.