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Finding the Third Proportional to 1,702.69 and 3,169.97

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Solution

The third proportional to 1,702.69 and 3,169.97 is: 5,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 3,169.97 = 3,169.97 : x
  2. Step 2: Convert to fraction form
    1,702.69/3,169.97 = 3,169.97/x
  3. Step 3: Cross multiply
    1,702.69x = 3,169.97 × 3,169.97
  4. Step 4: Simplify right side
    1,702.69x = 10,048,701.88
  5. Step 5: Solve for x
    x = 10,048,701.88/1,702.69
  6. Step 6: Final answer
    x = 5,901.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.