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Finding the Third Proportional to 22,392 and 48,738

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Solution

The third proportional to 22,392 and 48,738 is: 106,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,392 : 48,738 = 48,738 : x
  2. Step 2: Convert to fraction form
    22,392/48,738 = 48,738/x
  3. Step 3: Cross multiply
    22,392x = 48,738 × 48,738
  4. Step 4: Simplify right side
    22,392x = 2,375,392,644
  5. Step 5: Solve for x
    x = 2,375,392,644/22,392
  6. Step 6: Final answer
    x = 106,082.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.