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Finding the Third Proportional to 1,107.42 and 1,604.18

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Solution

The third proportional to 1,107.42 and 1,604.18 is: 2,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.42 : 1,604.18 = 1,604.18 : x
  2. Step 2: Convert to fraction form
    1,107.42/1,604.18 = 1,604.18/x
  3. Step 3: Cross multiply
    1,107.42x = 1,604.18 × 1,604.18
  4. Step 4: Simplify right side
    1,107.42x = 2,573,392.47
  5. Step 5: Solve for x
    x = 2,573,392.47/1,107.42
  6. Step 6: Final answer
    x = 2,323.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.