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Finding the Third Proportional to 1,314.84 and 1,982.39

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Solution

The third proportional to 1,314.84 and 1,982.39 is: 2,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.84 : 1,982.39 = 1,982.39 : x
  2. Step 2: Convert to fraction form
    1,314.84/1,982.39 = 1,982.39/x
  3. Step 3: Cross multiply
    1,314.84x = 1,982.39 × 1,982.39
  4. Step 4: Simplify right side
    1,314.84x = 3,929,872.59
  5. Step 5: Solve for x
    x = 3,929,872.59/1,314.84
  6. Step 6: Final answer
    x = 2,988.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.