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Finding the Third Proportional to 36,367 and 53,351.50

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Solution

The third proportional to 36,367 and 53,351.50 is: 78,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,367 : 53,351.50 = 53,351.50 : x
  2. Step 2: Convert to fraction form
    36,367/53,351.50 = 53,351.50/x
  3. Step 3: Cross multiply
    36,367x = 53,351.50 × 53,351.50
  4. Step 4: Simplify right side
    36,367x = 2,846,382,552.25
  5. Step 5: Solve for x
    x = 2,846,382,552.25/36,367
  6. Step 6: Final answer
    x = 78,268.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.