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Finding the Third Proportional to 1,107.42 and 1,728.42

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Solution

The third proportional to 1,107.42 and 1,728.42 is: 2,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.42 : 1,728.42 = 1,728.42 : x
  2. Step 2: Convert to fraction form
    1,107.42/1,728.42 = 1,728.42/x
  3. Step 3: Cross multiply
    1,107.42x = 1,728.42 × 1,728.42
  4. Step 4: Simplify right side
    1,107.42x = 2,987,442.18
  5. Step 5: Solve for x
    x = 2,987,442.18/1,107.42
  6. Step 6: Final answer
    x = 2,697.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.