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Finding the Third Proportional to 9,028.50 and 21,749

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Solution

The third proportional to 9,028.50 and 21,749 is: 52,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.50 : 21,749 = 21,749 : x
  2. Step 2: Convert to fraction form
    9,028.50/21,749 = 21,749/x
  3. Step 3: Cross multiply
    9,028.50x = 21,749 × 21,749
  4. Step 4: Simplify right side
    9,028.50x = 473,019,001
  5. Step 5: Solve for x
    x = 473,019,001/9,028.50
  6. Step 6: Final answer
    x = 52,391.76

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.