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Finding the Third Proportional to 48,686 and 73,083

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Solution

The third proportional to 48,686 and 73,083 is: 109,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686 : 73,083 = 73,083 : x
  2. Step 2: Convert to fraction form
    48,686/73,083 = 73,083/x
  3. Step 3: Cross multiply
    48,686x = 73,083 × 73,083
  4. Step 4: Simplify right side
    48,686x = 5,341,124,889
  5. Step 5: Solve for x
    x = 5,341,124,889/48,686
  6. Step 6: Final answer
    x = 109,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.