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Finding the Third Proportional to 994.13 and 1,084.13

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Solution

The third proportional to 994.13 and 1,084.13 is: 1,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.13 : 1,084.13 = 1,084.13 : x
  2. Step 2: Convert to fraction form
    994.13/1,084.13 = 1,084.13/x
  3. Step 3: Cross multiply
    994.13x = 1,084.13 × 1,084.13
  4. Step 4: Simplify right side
    994.13x = 1,175,327.02
  5. Step 5: Solve for x
    x = 1,175,327.02/994.13
  6. Step 6: Final answer
    x = 1,182.27

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.