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Finding the Third Proportional to 33,345.50 and 72,227

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Solution

The third proportional to 33,345.50 and 72,227 is: 156,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,345.50 : 72,227 = 72,227 : x
  2. Step 2: Convert to fraction form
    33,345.50/72,227 = 72,227/x
  3. Step 3: Cross multiply
    33,345.50x = 72,227 × 72,227
  4. Step 4: Simplify right side
    33,345.50x = 5,216,739,529
  5. Step 5: Solve for x
    x = 5,216,739,529/33,345.50
  6. Step 6: Final answer
    x = 156,445.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.