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Finding the Third Proportional to 37,241.75 and 80,737

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Solution

The third proportional to 37,241.75 and 80,737 is: 175,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,241.75 : 80,737 = 80,737 : x
  2. Step 2: Convert to fraction form
    37,241.75/80,737 = 80,737/x
  3. Step 3: Cross multiply
    37,241.75x = 80,737 × 80,737
  4. Step 4: Simplify right side
    37,241.75x = 6,518,463,169
  5. Step 5: Solve for x
    x = 6,518,463,169/37,241.75
  6. Step 6: Final answer
    x = 175,031.07

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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.