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Finding the Third Proportional to 960.47 and 2,068.03

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Solution

The third proportional to 960.47 and 2,068.03 is: 4,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.47 : 2,068.03 = 2,068.03 : x
  2. Step 2: Convert to fraction form
    960.47/2,068.03 = 2,068.03/x
  3. Step 3: Cross multiply
    960.47x = 2,068.03 × 2,068.03
  4. Step 4: Simplify right side
    960.47x = 4,276,753.25
  5. Step 5: Solve for x
    x = 4,276,753.25/960.47
  6. Step 6: Final answer
    x = 4,452.78

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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.