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Finding the Third Proportional to 36,658.50 and 77,280

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Solution

The third proportional to 36,658.50 and 77,280 is: 162,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658.50 : 77,280 = 77,280 : x
  2. Step 2: Convert to fraction form
    36,658.50/77,280 = 77,280/x
  3. Step 3: Cross multiply
    36,658.50x = 77,280 × 77,280
  4. Step 4: Simplify right side
    36,658.50x = 5,972,198,400
  5. Step 5: Solve for x
    x = 5,972,198,400/36,658.50
  6. Step 6: Final answer
    x = 162,914.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.