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Finding the Third Proportional to 23,409.50 and 51,199

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Solution

The third proportional to 23,409.50 and 51,199 is: 111,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.50 : 51,199 = 51,199 : x
  2. Step 2: Convert to fraction form
    23,409.50/51,199 = 51,199/x
  3. Step 3: Cross multiply
    23,409.50x = 51,199 × 51,199
  4. Step 4: Simplify right side
    23,409.50x = 2,621,337,601
  5. Step 5: Solve for x
    x = 2,621,337,601/23,409.50
  6. Step 6: Final answer
    x = 111,977.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.