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Finding the Third Proportional to 22,638 and 48,747

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Solution

The third proportional to 22,638 and 48,747 is: 104,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638 : 48,747 = 48,747 : x
  2. Step 2: Convert to fraction form
    22,638/48,747 = 48,747/x
  3. Step 3: Cross multiply
    22,638x = 48,747 × 48,747
  4. Step 4: Simplify right side
    22,638x = 2,376,270,009
  5. Step 5: Solve for x
    x = 2,376,270,009/22,638
  6. Step 6: Final answer
    x = 104,968.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.