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Finding the Third Proportional to 22,099 and 47,728

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Solution

The third proportional to 22,099 and 47,728 is: 103,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099 : 47,728 = 47,728 : x
  2. Step 2: Convert to fraction form
    22,099/47,728 = 47,728/x
  3. Step 3: Cross multiply
    22,099x = 47,728 × 47,728
  4. Step 4: Simplify right side
    22,099x = 2,277,961,984
  5. Step 5: Solve for x
    x = 2,277,961,984/22,099
  6. Step 6: Final answer
    x = 103,079.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.