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Finding the Third Proportional to 27,772.88 and 44,723.81

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Solution

The third proportional to 27,772.88 and 44,723.81 is: 72,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.88 : 44,723.81 = 44,723.81 : x
  2. Step 2: Convert to fraction form
    27,772.88/44,723.81 = 44,723.81/x
  3. Step 3: Cross multiply
    27,772.88x = 44,723.81 × 44,723.81
  4. Step 4: Simplify right side
    27,772.88x = 2,000,219,404.54
  5. Step 5: Solve for x
    x = 2,000,219,404.54/27,772.88
  6. Step 6: Final answer
    x = 72,020.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.