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Finding the Third Proportional to 23,907.50 and 50,551

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Solution

The third proportional to 23,907.50 and 50,551 is: 106,887.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.50 : 50,551 = 50,551 : x
  2. Step 2: Convert to fraction form
    23,907.50/50,551 = 50,551/x
  3. Step 3: Cross multiply
    23,907.50x = 50,551 × 50,551
  4. Step 4: Simplify right side
    23,907.50x = 2,555,403,601
  5. Step 5: Solve for x
    x = 2,555,403,601/23,907.50
  6. Step 6: Final answer
    x = 106,887.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.