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Finding the Third Proportional to 48,738 and 73,467

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Solution

The third proportional to 48,738 and 73,467 is: 110,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738 : 73,467 = 73,467 : x
  2. Step 2: Convert to fraction form
    48,738/73,467 = 73,467/x
  3. Step 3: Cross multiply
    48,738x = 73,467 × 73,467
  4. Step 4: Simplify right side
    48,738x = 5,397,400,089
  5. Step 5: Solve for x
    x = 5,397,400,089/48,738
  6. Step 6: Final answer
    x = 110,743.16

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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.