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Finding the Third Proportional to 6,748.31 and 10,557.84

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Solution

The third proportional to 6,748.31 and 10,557.84 is: 16,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.31 : 10,557.84 = 10,557.84 : x
  2. Step 2: Convert to fraction form
    6,748.31/10,557.84 = 10,557.84/x
  3. Step 3: Cross multiply
    6,748.31x = 10,557.84 × 10,557.84
  4. Step 4: Simplify right side
    6,748.31x = 111,468,064.65
  5. Step 5: Solve for x
    x = 111,468,064.65/6,748.31
  6. Step 6: Final answer
    x = 16,517.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.