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Finding the Third Proportional to 36,594 and 79,881.75

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Solution

The third proportional to 36,594 and 79,881.75 is: 174,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,594 : 79,881.75 = 79,881.75 : x
  2. Step 2: Convert to fraction form
    36,594/79,881.75 = 79,881.75/x
  3. Step 3: Cross multiply
    36,594x = 79,881.75 × 79,881.75
  4. Step 4: Simplify right side
    36,594x = 6,381,093,983.06
  5. Step 5: Solve for x
    x = 6,381,093,983.06/36,594
  6. Step 6: Final answer
    x = 174,375.42

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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.