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Finding the Third Proportional to 1,926.84 and 2,732.06

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Solution

The third proportional to 1,926.84 and 2,732.06 is: 3,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.84 : 2,732.06 = 2,732.06 : x
  2. Step 2: Convert to fraction form
    1,926.84/2,732.06 = 2,732.06/x
  3. Step 3: Cross multiply
    1,926.84x = 2,732.06 × 2,732.06
  4. Step 4: Simplify right side
    1,926.84x = 7,464,165.50
  5. Step 5: Solve for x
    x = 7,464,165.50/1,926.84
  6. Step 6: Final answer
    x = 3,873.78

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.