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Finding the Third Proportional to 6,016.78 and 14,494.78

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Solution

The third proportional to 6,016.78 and 14,494.78 is: 34,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.78 : 14,494.78 = 14,494.78 : x
  2. Step 2: Convert to fraction form
    6,016.78/14,494.78 = 14,494.78/x
  3. Step 3: Cross multiply
    6,016.78x = 14,494.78 × 14,494.78
  4. Step 4: Simplify right side
    6,016.78x = 210,098,683.49
  5. Step 5: Solve for x
    x = 210,098,683.49/6,016.78
  6. Step 6: Final answer
    x = 34,918.78

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.