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Finding the Third Proportional to 13,630.78 and 31,855.78

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Solution

The third proportional to 13,630.78 and 31,855.78 is: 74,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.78 : 31,855.78 = 31,855.78 : x
  2. Step 2: Convert to fraction form
    13,630.78/31,855.78 = 31,855.78/x
  3. Step 3: Cross multiply
    13,630.78x = 31,855.78 × 31,855.78
  4. Step 4: Simplify right side
    13,630.78x = 1,014,790,799.05
  5. Step 5: Solve for x
    x = 1,014,790,799.05/13,630.78
  6. Step 6: Final answer
    x = 74,448.47

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.