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Finding the Third Proportional to 48,996 and 73,561

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Solution

The third proportional to 48,996 and 73,561 is: 110,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,996 : 73,561 = 73,561 : x
  2. Step 2: Convert to fraction form
    48,996/73,561 = 73,561/x
  3. Step 3: Cross multiply
    48,996x = 73,561 × 73,561
  4. Step 4: Simplify right side
    48,996x = 5,411,220,721
  5. Step 5: Solve for x
    x = 5,411,220,721/48,996
  6. Step 6: Final answer
    x = 110,442.09

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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.