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Finding the Third Proportional to 24,808.78 and 31,369.78

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Solution

The third proportional to 24,808.78 and 31,369.78 is: 39,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.78 : 31,369.78 = 31,369.78 : x
  2. Step 2: Convert to fraction form
    24,808.78/31,369.78 = 31,369.78/x
  3. Step 3: Cross multiply
    24,808.78x = 31,369.78 × 31,369.78
  4. Step 4: Simplify right side
    24,808.78x = 984,063,175.67
  5. Step 5: Solve for x
    x = 984,063,175.67/24,808.78
  6. Step 6: Final answer
    x = 39,665.92

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.