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Finding the Third Proportional to 48,264 and 73,831

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Solution

The third proportional to 48,264 and 73,831 is: 112,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264 : 73,831 = 73,831 : x
  2. Step 2: Convert to fraction form
    48,264/73,831 = 73,831/x
  3. Step 3: Cross multiply
    48,264x = 73,831 × 73,831
  4. Step 4: Simplify right side
    48,264x = 5,451,016,561
  5. Step 5: Solve for x
    x = 5,451,016,561/48,264
  6. Step 6: Final answer
    x = 112,941.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.