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Finding the Third Proportional to 3,169.98 and 6,817.29

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Solution

The third proportional to 3,169.98 and 6,817.29 is: 14,661.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.98 : 6,817.29 = 6,817.29 : x
  2. Step 2: Convert to fraction form
    3,169.98/6,817.29 = 6,817.29/x
  3. Step 3: Cross multiply
    3,169.98x = 6,817.29 × 6,817.29
  4. Step 4: Simplify right side
    3,169.98x = 46,475,430.16
  5. Step 5: Solve for x
    x = 46,475,430.16/3,169.98
  6. Step 6: Final answer
    x = 14,661.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.