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Finding the Third Proportional to 36,553 and 79,716.50

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Solution

The third proportional to 36,553 and 79,716.50 is: 173,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,553 : 79,716.50 = 79,716.50 : x
  2. Step 2: Convert to fraction form
    36,553/79,716.50 = 79,716.50/x
  3. Step 3: Cross multiply
    36,553x = 79,716.50 × 79,716.50
  4. Step 4: Simplify right side
    36,553x = 6,354,720,372.25
  5. Step 5: Solve for x
    x = 6,354,720,372.25/36,553
  6. Step 6: Final answer
    x = 173,849.49

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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.