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Finding the Third Proportional to 1,836.42 and 2,693.88

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Solution

The third proportional to 1,836.42 and 2,693.88 is: 3,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.42 : 2,693.88 = 2,693.88 : x
  2. Step 2: Convert to fraction form
    1,836.42/2,693.88 = 2,693.88/x
  3. Step 3: Cross multiply
    1,836.42x = 2,693.88 × 2,693.88
  4. Step 4: Simplify right side
    1,836.42x = 7,257,004.61
  5. Step 5: Solve for x
    x = 7,257,004.61/1,836.42
  6. Step 6: Final answer
    x = 3,951.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.