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Finding the Third Proportional to 949.22 and 1,097.30

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Solution

The third proportional to 949.22 and 1,097.30 is: 1,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.22 : 1,097.30 = 1,097.30 : x
  2. Step 2: Convert to fraction form
    949.22/1,097.30 = 1,097.30/x
  3. Step 3: Cross multiply
    949.22x = 1,097.30 × 1,097.30
  4. Step 4: Simplify right side
    949.22x = 1,204,060.43
  5. Step 5: Solve for x
    x = 1,204,060.43/949.22
  6. Step 6: Final answer
    x = 1,268.48

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.