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Finding the Third Proportional to 1,354.22 and 2,079.42

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Solution

The third proportional to 1,354.22 and 2,079.42 is: 3,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.22 : 2,079.42 = 2,079.42 : x
  2. Step 2: Convert to fraction form
    1,354.22/2,079.42 = 2,079.42/x
  3. Step 3: Cross multiply
    1,354.22x = 2,079.42 × 2,079.42
  4. Step 4: Simplify right side
    1,354.22x = 4,323,995.33
  5. Step 5: Solve for x
    x = 4,323,995.33/1,354.22
  6. Step 6: Final answer
    x = 3,192.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.