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Finding the Third Proportional to 979.13 and 2,026.31

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Solution

The third proportional to 979.13 and 2,026.31 is: 4,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.13 : 2,026.31 = 2,026.31 : x
  2. Step 2: Convert to fraction form
    979.13/2,026.31 = 2,026.31/x
  3. Step 3: Cross multiply
    979.13x = 2,026.31 × 2,026.31
  4. Step 4: Simplify right side
    979.13x = 4,105,942.35
  5. Step 5: Solve for x
    x = 4,105,942.35/979.13
  6. Step 6: Final answer
    x = 4,193.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.