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Finding the Third Proportional to 6,817.29 and 14,971.55

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Solution

The third proportional to 6,817.29 and 14,971.55 is: 32,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.29 : 14,971.55 = 14,971.55 : x
  2. Step 2: Convert to fraction form
    6,817.29/14,971.55 = 14,971.55/x
  3. Step 3: Cross multiply
    6,817.29x = 14,971.55 × 14,971.55
  4. Step 4: Simplify right side
    6,817.29x = 224,147,391.28
  5. Step 5: Solve for x
    x = 224,147,391.28/6,817.29
  6. Step 6: Final answer
    x = 32,879.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.