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Finding the Third Proportional to 1,089.75 and 1,639.88

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Solution

The third proportional to 1,089.75 and 1,639.88 is: 2,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.75 : 1,639.88 = 1,639.88 : x
  2. Step 2: Convert to fraction form
    1,089.75/1,639.88 = 1,639.88/x
  3. Step 3: Cross multiply
    1,089.75x = 1,639.88 × 1,639.88
  4. Step 4: Simplify right side
    1,089.75x = 2,689,190.02
  5. Step 5: Solve for x
    x = 2,689,190.02/1,089.75
  6. Step 6: Final answer
    x = 2,467.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.