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Finding the Third Proportional to 9,679.50 and 23,190.75

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Solution

The third proportional to 9,679.50 and 23,190.75 is: 55,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.50 : 23,190.75 = 23,190.75 : x
  2. Step 2: Convert to fraction form
    9,679.50/23,190.75 = 23,190.75/x
  3. Step 3: Cross multiply
    9,679.50x = 23,190.75 × 23,190.75
  4. Step 4: Simplify right side
    9,679.50x = 537,810,885.56
  5. Step 5: Solve for x
    x = 537,810,885.56/9,679.50
  6. Step 6: Final answer
    x = 55,561.85

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.