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Finding the Third Proportional to 22,366 and 48,938

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Solution

The third proportional to 22,366 and 48,938 is: 107,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,366 : 48,938 = 48,938 : x
  2. Step 2: Convert to fraction form
    22,366/48,938 = 48,938/x
  3. Step 3: Cross multiply
    22,366x = 48,938 × 48,938
  4. Step 4: Simplify right side
    22,366x = 2,394,927,844
  5. Step 5: Solve for x
    x = 2,394,927,844/22,366
  6. Step 6: Final answer
    x = 107,078.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.