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Finding the Third Proportional to 1,107.84 and 1,723.36

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Solution

The third proportional to 1,107.84 and 1,723.36 is: 2,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.84 : 1,723.36 = 1,723.36 : x
  2. Step 2: Convert to fraction form
    1,107.84/1,723.36 = 1,723.36/x
  3. Step 3: Cross multiply
    1,107.84x = 1,723.36 × 1,723.36
  4. Step 4: Simplify right side
    1,107.84x = 2,969,967.54
  5. Step 5: Solve for x
    x = 2,969,967.54/1,107.84
  6. Step 6: Final answer
    x = 2,680.85

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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.