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Finding the Third Proportional to 39,237 and 80,560.50

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Solution

The third proportional to 39,237 and 80,560.50 is: 165,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,237 : 80,560.50 = 80,560.50 : x
  2. Step 2: Convert to fraction form
    39,237/80,560.50 = 80,560.50/x
  3. Step 3: Cross multiply
    39,237x = 80,560.50 × 80,560.50
  4. Step 4: Simplify right side
    39,237x = 6,489,994,160.25
  5. Step 5: Solve for x
    x = 6,489,994,160.25/39,237
  6. Step 6: Final answer
    x = 165,404.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.