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Finding the Third Proportional to 48,016.13 and 74,190.94

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Solution

The third proportional to 48,016.13 and 74,190.94 is: 114,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,016.13 : 74,190.94 = 74,190.94 : x
  2. Step 2: Convert to fraction form
    48,016.13/74,190.94 = 74,190.94/x
  3. Step 3: Cross multiply
    48,016.13x = 74,190.94 × 74,190.94
  4. Step 4: Simplify right side
    48,016.13x = 5,504,295,207.13
  5. Step 5: Solve for x
    x = 5,504,295,207.13/48,016.13
  6. Step 6: Final answer
    x = 114,634.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.