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Finding the Third Proportional to 9,997.25 and 23,144.13

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Solution

The third proportional to 9,997.25 and 23,144.13 is: 53,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.25 : 23,144.13 = 23,144.13 : x
  2. Step 2: Convert to fraction form
    9,997.25/23,144.13 = 23,144.13/x
  3. Step 3: Cross multiply
    9,997.25x = 23,144.13 × 23,144.13
  4. Step 4: Simplify right side
    9,997.25x = 535,650,522.02
  5. Step 5: Solve for x
    x = 535,650,522.02/9,997.25
  6. Step 6: Final answer
    x = 53,579.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.