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Finding the Third Proportional to 9,993 and 21,525

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Solution

The third proportional to 9,993 and 21,525 is: 46,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993 : 21,525 = 21,525 : x
  2. Step 2: Convert to fraction form
    9,993/21,525 = 21,525/x
  3. Step 3: Cross multiply
    9,993x = 21,525 × 21,525
  4. Step 4: Simplify right side
    9,993x = 463,325,625
  5. Step 5: Solve for x
    x = 463,325,625/9,993
  6. Step 6: Final answer
    x = 46,365.02

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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.