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Finding the Third Proportional to 33,887 and 72,481

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Solution

The third proportional to 33,887 and 72,481 is: 155,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,887 : 72,481 = 72,481 : x
  2. Step 2: Convert to fraction form
    33,887/72,481 = 72,481/x
  3. Step 3: Cross multiply
    33,887x = 72,481 × 72,481
  4. Step 4: Simplify right side
    33,887x = 5,253,495,361
  5. Step 5: Solve for x
    x = 5,253,495,361/33,887
  6. Step 6: Final answer
    x = 155,029.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.