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Finding the Third Proportional to 1,095.75 and 1,639.97

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Solution

The third proportional to 1,095.75 and 1,639.97 is: 2,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.75 : 1,639.97 = 1,639.97 : x
  2. Step 2: Convert to fraction form
    1,095.75/1,639.97 = 1,639.97/x
  3. Step 3: Cross multiply
    1,095.75x = 1,639.97 × 1,639.97
  4. Step 4: Simplify right side
    1,095.75x = 2,689,497.50
  5. Step 5: Solve for x
    x = 2,689,497.50/1,095.75
  6. Step 6: Final answer
    x = 2,454.48

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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.