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Finding the Third Proportional to 6,853.13 and 14,244.94

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Solution

The third proportional to 6,853.13 and 14,244.94 is: 29,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.13 : 14,244.94 = 14,244.94 : x
  2. Step 2: Convert to fraction form
    6,853.13/14,244.94 = 14,244.94/x
  3. Step 3: Cross multiply
    6,853.13x = 14,244.94 × 14,244.94
  4. Step 4: Simplify right side
    6,853.13x = 202,918,244.38
  5. Step 5: Solve for x
    x = 202,918,244.38/6,853.13
  6. Step 6: Final answer
    x = 29,609.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.