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Finding the Third Proportional to 21,948 and 48,568

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Solution

The third proportional to 21,948 and 48,568 is: 107,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948 : 48,568 = 48,568 : x
  2. Step 2: Convert to fraction form
    21,948/48,568 = 48,568/x
  3. Step 3: Cross multiply
    21,948x = 48,568 × 48,568
  4. Step 4: Simplify right side
    21,948x = 2,358,850,624
  5. Step 5: Solve for x
    x = 2,358,850,624/21,948
  6. Step 6: Final answer
    x = 107,474.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.