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Finding the Third Proportional to 22,158 and 48,021.75

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Solution

The third proportional to 22,158 and 48,021.75 is: 104,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,158 : 48,021.75 = 48,021.75 : x
  2. Step 2: Convert to fraction form
    22,158/48,021.75 = 48,021.75/x
  3. Step 3: Cross multiply
    22,158x = 48,021.75 × 48,021.75
  4. Step 4: Simplify right side
    22,158x = 2,306,088,473.06
  5. Step 5: Solve for x
    x = 2,306,088,473.06/22,158
  6. Step 6: Final answer
    x = 104,074.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.