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Finding the Third Proportional to 51,711 and 75,923.75

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Solution

The third proportional to 51,711 and 75,923.75 is: 111,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,711 : 75,923.75 = 75,923.75 : x
  2. Step 2: Convert to fraction form
    51,711/75,923.75 = 75,923.75/x
  3. Step 3: Cross multiply
    51,711x = 75,923.75 × 75,923.75
  4. Step 4: Simplify right side
    51,711x = 5,764,415,814.06
  5. Step 5: Solve for x
    x = 5,764,415,814.06/51,711
  6. Step 6: Final answer
    x = 111,473.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.