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Finding the Third Proportional to 36,536.50 and 79,634

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Solution

The third proportional to 36,536.50 and 79,634 is: 173,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536.50 : 79,634 = 79,634 : x
  2. Step 2: Convert to fraction form
    36,536.50/79,634 = 79,634/x
  3. Step 3: Cross multiply
    36,536.50x = 79,634 × 79,634
  4. Step 4: Simplify right side
    36,536.50x = 6,341,573,956
  5. Step 5: Solve for x
    x = 6,341,573,956/36,536.50
  6. Step 6: Final answer
    x = 173,568.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.