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Finding the Third Proportional to 40,333.50 and 87,663

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Solution

The third proportional to 40,333.50 and 87,663 is: 190,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,333.50 : 87,663 = 87,663 : x
  2. Step 2: Convert to fraction form
    40,333.50/87,663 = 87,663/x
  3. Step 3: Cross multiply
    40,333.50x = 87,663 × 87,663
  4. Step 4: Simplify right side
    40,333.50x = 7,684,801,569
  5. Step 5: Solve for x
    x = 7,684,801,569/40,333.50
  6. Step 6: Final answer
    x = 190,531.48

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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.