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Finding the Third Proportional to 6,291.44 and 13,689.97

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Solution

The third proportional to 6,291.44 and 13,689.97 is: 29,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.44 : 13,689.97 = 13,689.97 : x
  2. Step 2: Convert to fraction form
    6,291.44/13,689.97 = 13,689.97/x
  3. Step 3: Cross multiply
    6,291.44x = 13,689.97 × 13,689.97
  4. Step 4: Simplify right side
    6,291.44x = 187,415,244.38
  5. Step 5: Solve for x
    x = 187,415,244.38/6,291.44
  6. Step 6: Final answer
    x = 29,788.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.