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Finding the Third Proportional to 6,690.09 and 10,957.78

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Solution

The third proportional to 6,690.09 and 10,957.78 is: 17,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.09 : 10,957.78 = 10,957.78 : x
  2. Step 2: Convert to fraction form
    6,690.09/10,957.78 = 10,957.78/x
  3. Step 3: Cross multiply
    6,690.09x = 10,957.78 × 10,957.78
  4. Step 4: Simplify right side
    6,690.09x = 120,072,969.92
  5. Step 5: Solve for x
    x = 120,072,969.92/6,690.09
  6. Step 6: Final answer
    x = 17,947.88

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.