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Finding the Third Proportional to 32,561 and 48,832

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Solution

The third proportional to 32,561 and 48,832 is: 73,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,561 : 48,832 = 48,832 : x
  2. Step 2: Convert to fraction form
    32,561/48,832 = 48,832/x
  3. Step 3: Cross multiply
    32,561x = 48,832 × 48,832
  4. Step 4: Simplify right side
    32,561x = 2,384,564,224
  5. Step 5: Solve for x
    x = 2,384,564,224/32,561
  6. Step 6: Final answer
    x = 73,233.75

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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.