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Finding the Third Proportional to 8,997.75 and 19,633.22

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Solution

The third proportional to 8,997.75 and 19,633.22 is: 42,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.75 : 19,633.22 = 19,633.22 : x
  2. Step 2: Convert to fraction form
    8,997.75/19,633.22 = 19,633.22/x
  3. Step 3: Cross multiply
    8,997.75x = 19,633.22 × 19,633.22
  4. Step 4: Simplify right side
    8,997.75x = 385,463,278.49
  5. Step 5: Solve for x
    x = 385,463,278.49/8,997.75
  6. Step 6: Final answer
    x = 42,839.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.