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Finding the Third Proportional to 1,063.69 and 1,594.97

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Solution

The third proportional to 1,063.69 and 1,594.97 is: 2,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.69 : 1,594.97 = 1,594.97 : x
  2. Step 2: Convert to fraction form
    1,063.69/1,594.97 = 1,594.97/x
  3. Step 3: Cross multiply
    1,063.69x = 1,594.97 × 1,594.97
  4. Step 4: Simplify right side
    1,063.69x = 2,543,925.31
  5. Step 5: Solve for x
    x = 2,543,925.31/1,063.69
  6. Step 6: Final answer
    x = 2,391.61

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