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Finding the Third Proportional to 48,840 and 73,950

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Solution

The third proportional to 48,840 and 73,950 is: 111,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,840 : 73,950 = 73,950 : x
  2. Step 2: Convert to fraction form
    48,840/73,950 = 73,950/x
  3. Step 3: Cross multiply
    48,840x = 73,950 × 73,950
  4. Step 4: Simplify right side
    48,840x = 5,468,602,500
  5. Step 5: Solve for x
    x = 5,468,602,500/48,840
  6. Step 6: Final answer
    x = 111,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.