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Finding the Third Proportional to 22,054 and 48,074

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Solution

The third proportional to 22,054 and 48,074 is: 104,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,054 : 48,074 = 48,074 : x
  2. Step 2: Convert to fraction form
    22,054/48,074 = 48,074/x
  3. Step 3: Cross multiply
    22,054x = 48,074 × 48,074
  4. Step 4: Simplify right side
    22,054x = 2,311,109,476
  5. Step 5: Solve for x
    x = 2,311,109,476/22,054
  6. Step 6: Final answer
    x = 104,793.21

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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.