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Finding the Third Proportional to 9,493.50 and 20,391

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Solution

The third proportional to 9,493.50 and 20,391 is: 43,797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.50 : 20,391 = 20,391 : x
  2. Step 2: Convert to fraction form
    9,493.50/20,391 = 20,391/x
  3. Step 3: Cross multiply
    9,493.50x = 20,391 × 20,391
  4. Step 4: Simplify right side
    9,493.50x = 415,792,881
  5. Step 5: Solve for x
    x = 415,792,881/9,493.50
  6. Step 6: Final answer
    x = 43,797.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.