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Finding the Third Proportional to 48,036 and 76,738

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Solution

The third proportional to 48,036 and 76,738 is: 122,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,036 : 76,738 = 76,738 : x
  2. Step 2: Convert to fraction form
    48,036/76,738 = 76,738/x
  3. Step 3: Cross multiply
    48,036x = 76,738 × 76,738
  4. Step 4: Simplify right side
    48,036x = 5,888,720,644
  5. Step 5: Solve for x
    x = 5,888,720,644/48,036
  6. Step 6: Final answer
    x = 122,589.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.