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Finding the Third Proportional to 48,832 and 73,250

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Solution

The third proportional to 48,832 and 73,250 is: 109,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832 : 73,250 = 73,250 : x
  2. Step 2: Convert to fraction form
    48,832/73,250 = 73,250/x
  3. Step 3: Cross multiply
    48,832x = 73,250 × 73,250
  4. Step 4: Simplify right side
    48,832x = 5,365,562,500
  5. Step 5: Solve for x
    x = 5,365,562,500/48,832
  6. Step 6: Final answer
    x = 109,878.00

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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.