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Finding the Third Proportional to 36,097.50 and 53,847

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Solution

The third proportional to 36,097.50 and 53,847 is: 80,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097.50 : 53,847 = 53,847 : x
  2. Step 2: Convert to fraction form
    36,097.50/53,847 = 53,847/x
  3. Step 3: Cross multiply
    36,097.50x = 53,847 × 53,847
  4. Step 4: Simplify right side
    36,097.50x = 2,899,499,409
  5. Step 5: Solve for x
    x = 2,899,499,409/36,097.50
  6. Step 6: Final answer
    x = 80,324.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.