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Finding the Third Proportional to 48,816 and 73,031

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Solution

The third proportional to 48,816 and 73,031 is: 109,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,816 : 73,031 = 73,031 : x
  2. Step 2: Convert to fraction form
    48,816/73,031 = 73,031/x
  3. Step 3: Cross multiply
    48,816x = 73,031 × 73,031
  4. Step 4: Simplify right side
    48,816x = 5,333,526,961
  5. Step 5: Solve for x
    x = 5,333,526,961/48,816
  6. Step 6: Final answer
    x = 109,257.76

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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.