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Finding the Third Proportional to 1,094.92 and 2,354.30

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Solution

The third proportional to 1,094.92 and 2,354.30 is: 5,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.92 : 2,354.30 = 2,354.30 : x
  2. Step 2: Convert to fraction form
    1,094.92/2,354.30 = 2,354.30/x
  3. Step 3: Cross multiply
    1,094.92x = 2,354.30 × 2,354.30
  4. Step 4: Simplify right side
    1,094.92x = 5,542,727.57
  5. Step 5: Solve for x
    x = 5,542,727.57/1,094.92
  6. Step 6: Final answer
    x = 5,062.20

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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.