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Finding the Third Proportional to 51,441.75 and 75,778.88

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Solution

The third proportional to 51,441.75 and 75,778.88 is: 111,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441.75 : 75,778.88 = 75,778.88 : x
  2. Step 2: Convert to fraction form
    51,441.75/75,778.88 = 75,778.88/x
  3. Step 3: Cross multiply
    51,441.75x = 75,778.88 × 75,778.88
  4. Step 4: Simplify right side
    51,441.75x = 5,742,437,896.27
  5. Step 5: Solve for x
    x = 5,742,437,896.27/51,441.75
  6. Step 6: Final answer
    x = 111,629.91

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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.