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Finding the Third Proportional to 968.20 and 2,085.91

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Solution

The third proportional to 968.20 and 2,085.91 is: 4,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 2,085.91 = 2,085.91 : x
  2. Step 2: Convert to fraction form
    968.20/2,085.91 = 2,085.91/x
  3. Step 3: Cross multiply
    968.20x = 2,085.91 × 2,085.91
  4. Step 4: Simplify right side
    968.20x = 4,351,013.03
  5. Step 5: Solve for x
    x = 4,351,013.03/968.20
  6. Step 6: Final answer
    x = 4,493.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.