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Finding the Third Proportional to 51,713.44 and 76,601.95

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Solution

The third proportional to 51,713.44 and 76,601.95 is: 113,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713.44 : 76,601.95 = 76,601.95 : x
  2. Step 2: Convert to fraction form
    51,713.44/76,601.95 = 76,601.95/x
  3. Step 3: Cross multiply
    51,713.44x = 76,601.95 × 76,601.95
  4. Step 4: Simplify right side
    51,713.44x = 5,867,859,222.56
  5. Step 5: Solve for x
    x = 5,867,859,222.56/51,713.44
  6. Step 6: Final answer
    x = 113,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.