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Finding the Third Proportional to 1,591.59 and 3,295.41

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Solution

The third proportional to 1,591.59 and 3,295.41 is: 6,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.59 : 3,295.41 = 3,295.41 : x
  2. Step 2: Convert to fraction form
    1,591.59/3,295.41 = 3,295.41/x
  3. Step 3: Cross multiply
    1,591.59x = 3,295.41 × 3,295.41
  4. Step 4: Simplify right side
    1,591.59x = 10,859,702.35
  5. Step 5: Solve for x
    x = 10,859,702.35/1,591.59
  6. Step 6: Final answer
    x = 6,823.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.