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Finding the Third Proportional to 22,038 and 45,249

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Solution

The third proportional to 22,038 and 45,249 is: 92,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038 : 45,249 = 45,249 : x
  2. Step 2: Convert to fraction form
    22,038/45,249 = 45,249/x
  3. Step 3: Cross multiply
    22,038x = 45,249 × 45,249
  4. Step 4: Simplify right side
    22,038x = 2,047,472,001
  5. Step 5: Solve for x
    x = 2,047,472,001/22,038
  6. Step 6: Final answer
    x = 92,906.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.