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Finding the Third Proportional to 36,307.50 and 80,229

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Solution

The third proportional to 36,307.50 and 80,229 is: 177,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,307.50 : 80,229 = 80,229 : x
  2. Step 2: Convert to fraction form
    36,307.50/80,229 = 80,229/x
  3. Step 3: Cross multiply
    36,307.50x = 80,229 × 80,229
  4. Step 4: Simplify right side
    36,307.50x = 6,436,692,441
  5. Step 5: Solve for x
    x = 6,436,692,441/36,307.50
  6. Step 6: Final answer
    x = 177,282.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.