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Finding the Third Proportional to 23,692.75 and 50,666

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Solution

The third proportional to 23,692.75 and 50,666 is: 108,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.75 : 50,666 = 50,666 : x
  2. Step 2: Convert to fraction form
    23,692.75/50,666 = 50,666/x
  3. Step 3: Cross multiply
    23,692.75x = 50,666 × 50,666
  4. Step 4: Simplify right side
    23,692.75x = 2,567,043,556
  5. Step 5: Solve for x
    x = 2,567,043,556/23,692.75
  6. Step 6: Final answer
    x = 108,347.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.