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Finding the Third Proportional to 1,702.69 and 3,456.84

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Solution

The third proportional to 1,702.69 and 3,456.84 is: 7,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.69 : 3,456.84 = 3,456.84 : x
  2. Step 2: Convert to fraction form
    1,702.69/3,456.84 = 3,456.84/x
  3. Step 3: Cross multiply
    1,702.69x = 3,456.84 × 3,456.84
  4. Step 4: Simplify right side
    1,702.69x = 11,949,768.71
  5. Step 5: Solve for x
    x = 11,949,768.71/1,702.69
  6. Step 6: Final answer
    x = 7,018.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.