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Finding the Third Proportional to 13,616.44 and 29,494.69

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Solution

The third proportional to 13,616.44 and 29,494.69 is: 63,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.44 : 29,494.69 = 29,494.69 : x
  2. Step 2: Convert to fraction form
    13,616.44/29,494.69 = 29,494.69/x
  3. Step 3: Cross multiply
    13,616.44x = 29,494.69 × 29,494.69
  4. Step 4: Simplify right side
    13,616.44x = 869,936,590.72
  5. Step 5: Solve for x
    x = 869,936,590.72/13,616.44
  6. Step 6: Final answer
    x = 63,888.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.