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Finding the Third Proportional to 979.97 and 2,096.53

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Solution

The third proportional to 979.97 and 2,096.53 is: 4,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.97 : 2,096.53 = 2,096.53 : x
  2. Step 2: Convert to fraction form
    979.97/2,096.53 = 2,096.53/x
  3. Step 3: Cross multiply
    979.97x = 2,096.53 × 2,096.53
  4. Step 4: Simplify right side
    979.97x = 4,395,443.28
  5. Step 5: Solve for x
    x = 4,395,443.28/979.97
  6. Step 6: Final answer
    x = 4,485.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.