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Finding the Third Proportional to 36,775 and 79,380.50

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Solution

The third proportional to 36,775 and 79,380.50 is: 171,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,775 : 79,380.50 = 79,380.50 : x
  2. Step 2: Convert to fraction form
    36,775/79,380.50 = 79,380.50/x
  3. Step 3: Cross multiply
    36,775x = 79,380.50 × 79,380.50
  4. Step 4: Simplify right side
    36,775x = 6,301,263,780.25
  5. Step 5: Solve for x
    x = 6,301,263,780.25/36,775
  6. Step 6: Final answer
    x = 171,346.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.