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Finding the Third Proportional to 8,991 and 23,064.75

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Solution

The third proportional to 8,991 and 23,064.75 is: 59,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991 : 23,064.75 = 23,064.75 : x
  2. Step 2: Convert to fraction form
    8,991/23,064.75 = 23,064.75/x
  3. Step 3: Cross multiply
    8,991x = 23,064.75 × 23,064.75
  4. Step 4: Simplify right side
    8,991x = 531,982,692.56
  5. Step 5: Solve for x
    x = 531,982,692.56/8,991
  6. Step 6: Final answer
    x = 59,168.36

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.