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Finding the Third Proportional to 10,847.81 and 21,997.69

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Solution

The third proportional to 10,847.81 and 21,997.69 is: 44,607.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.81 : 21,997.69 = 21,997.69 : x
  2. Step 2: Convert to fraction form
    10,847.81/21,997.69 = 21,997.69/x
  3. Step 3: Cross multiply
    10,847.81x = 21,997.69 × 21,997.69
  4. Step 4: Simplify right side
    10,847.81x = 483,898,255.35
  5. Step 5: Solve for x
    x = 483,898,255.35/10,847.81
  6. Step 6: Final answer
    x = 44,607.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.