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Finding the Third Proportional to 29,982 and 73,224

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Solution

The third proportional to 29,982 and 73,224 is: 178,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982 : 73,224 = 73,224 : x
  2. Step 2: Convert to fraction form
    29,982/73,224 = 73,224/x
  3. Step 3: Cross multiply
    29,982x = 73,224 × 73,224
  4. Step 4: Simplify right side
    29,982x = 5,361,754,176
  5. Step 5: Solve for x
    x = 5,361,754,176/29,982
  6. Step 6: Final answer
    x = 178,832.44

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.