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Finding the Third Proportional to 968.68 and 2,110.27

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Solution

The third proportional to 968.68 and 2,110.27 is: 4,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.68 : 2,110.27 = 2,110.27 : x
  2. Step 2: Convert to fraction form
    968.68/2,110.27 = 2,110.27/x
  3. Step 3: Cross multiply
    968.68x = 2,110.27 × 2,110.27
  4. Step 4: Simplify right side
    968.68x = 4,453,245.74
  5. Step 5: Solve for x
    x = 4,453,245.74/968.68
  6. Step 6: Final answer
    x = 4,597.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.