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Finding the Third Proportional to 14,377.82 and 31,369.78

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Solution

The third proportional to 14,377.82 and 31,369.78 is: 68,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.82 : 31,369.78 = 31,369.78 : x
  2. Step 2: Convert to fraction form
    14,377.82/31,369.78 = 31,369.78/x
  3. Step 3: Cross multiply
    14,377.82x = 31,369.78 × 31,369.78
  4. Step 4: Simplify right side
    14,377.82x = 984,063,175.67
  5. Step 5: Solve for x
    x = 984,063,175.67/14,377.82
  6. Step 6: Final answer
    x = 68,443.16

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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.