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Finding the Third Proportional to 36,205.50 and 77,859.38

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Solution

The third proportional to 36,205.50 and 77,859.38 is: 167,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.50 : 77,859.38 = 77,859.38 : x
  2. Step 2: Convert to fraction form
    36,205.50/77,859.38 = 77,859.38/x
  3. Step 3: Cross multiply
    36,205.50x = 77,859.38 × 77,859.38
  4. Step 4: Simplify right side
    36,205.50x = 6,062,082,275.39
  5. Step 5: Solve for x
    x = 6,062,082,275.39/36,205.50
  6. Step 6: Final answer
    x = 167,435.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.