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Finding the Third Proportional to 27,945 and 51,691.50

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Solution

The third proportional to 27,945 and 51,691.50 is: 95,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945 : 51,691.50 = 51,691.50 : x
  2. Step 2: Convert to fraction form
    27,945/51,691.50 = 51,691.50/x
  3. Step 3: Cross multiply
    27,945x = 51,691.50 × 51,691.50
  4. Step 4: Simplify right side
    27,945x = 2,672,011,172.25
  5. Step 5: Solve for x
    x = 2,672,011,172.25/27,945
  6. Step 6: Final answer
    x = 95,616.79

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.