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Finding the Third Proportional to 51,847.50 and 76,069.50

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Solution

The third proportional to 51,847.50 and 76,069.50 is: 111,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847.50 : 76,069.50 = 76,069.50 : x
  2. Step 2: Convert to fraction form
    51,847.50/76,069.50 = 76,069.50/x
  3. Step 3: Cross multiply
    51,847.50x = 76,069.50 × 76,069.50
  4. Step 4: Simplify right side
    51,847.50x = 5,786,568,830.25
  5. Step 5: Solve for x
    x = 5,786,568,830.25/51,847.50
  6. Step 6: Final answer
    x = 111,607.48

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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.