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Finding the Third Proportional to 22,357 and 48,867

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Solution

The third proportional to 22,357 and 48,867 is: 106,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357 : 48,867 = 48,867 : x
  2. Step 2: Convert to fraction form
    22,357/48,867 = 48,867/x
  3. Step 3: Cross multiply
    22,357x = 48,867 × 48,867
  4. Step 4: Simplify right side
    22,357x = 2,387,983,689
  5. Step 5: Solve for x
    x = 2,387,983,689/22,357
  6. Step 6: Final answer
    x = 106,811.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.