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Finding the Third Proportional to 9,267 and 20,378.25

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Solution

The third proportional to 9,267 and 20,378.25 is: 44,812.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267 : 20,378.25 = 20,378.25 : x
  2. Step 2: Convert to fraction form
    9,267/20,378.25 = 20,378.25/x
  3. Step 3: Cross multiply
    9,267x = 20,378.25 × 20,378.25
  4. Step 4: Simplify right side
    9,267x = 415,273,073.06
  5. Step 5: Solve for x
    x = 415,273,073.06/9,267
  6. Step 6: Final answer
    x = 44,812.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.