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Finding the Third Proportional to 1,984.29 and 3,139.38

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Solution

The third proportional to 1,984.29 and 3,139.38 is: 4,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.29 : 3,139.38 = 3,139.38 : x
  2. Step 2: Convert to fraction form
    1,984.29/3,139.38 = 3,139.38/x
  3. Step 3: Cross multiply
    1,984.29x = 3,139.38 × 3,139.38
  4. Step 4: Simplify right side
    1,984.29x = 9,855,724.44
  5. Step 5: Solve for x
    x = 9,855,724.44/1,984.29
  6. Step 6: Final answer
    x = 4,966.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.