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Finding the Third Proportional to 36,891.50 and 81,536

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Solution

The third proportional to 36,891.50 and 81,536 is: 180,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,891.50 : 81,536 = 81,536 : x
  2. Step 2: Convert to fraction form
    36,891.50/81,536 = 81,536/x
  3. Step 3: Cross multiply
    36,891.50x = 81,536 × 81,536
  4. Step 4: Simplify right side
    36,891.50x = 6,648,119,296
  5. Step 5: Solve for x
    x = 6,648,119,296/36,891.50
  6. Step 6: Final answer
    x = 180,207.35

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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.