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Finding the Third Proportional to 27,191.50 and 55,847

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Solution

The third proportional to 27,191.50 and 55,847 is: 114,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191.50 : 55,847 = 55,847 : x
  2. Step 2: Convert to fraction form
    27,191.50/55,847 = 55,847/x
  3. Step 3: Cross multiply
    27,191.50x = 55,847 × 55,847
  4. Step 4: Simplify right side
    27,191.50x = 3,118,887,409
  5. Step 5: Solve for x
    x = 3,118,887,409/27,191.50
  6. Step 6: Final answer
    x = 114,700.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.