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Finding the Third Proportional to 27,771.75 and 44,724.75

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Solution

The third proportional to 27,771.75 and 44,724.75 is: 72,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.75 : 44,724.75 = 44,724.75 : x
  2. Step 2: Convert to fraction form
    27,771.75/44,724.75 = 44,724.75/x
  3. Step 3: Cross multiply
    27,771.75x = 44,724.75 × 44,724.75
  4. Step 4: Simplify right side
    27,771.75x = 2,000,303,262.56
  5. Step 5: Solve for x
    x = 2,000,303,262.56/27,771.75
  6. Step 6: Final answer
    x = 72,026.55

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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.