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Finding the Third Proportional to 21,646 and 48,213

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Solution

The third proportional to 21,646 and 48,213 is: 107,386.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646 : 48,213 = 48,213 : x
  2. Step 2: Convert to fraction form
    21,646/48,213 = 48,213/x
  3. Step 3: Cross multiply
    21,646x = 48,213 × 48,213
  4. Step 4: Simplify right side
    21,646x = 2,324,493,369
  5. Step 5: Solve for x
    x = 2,324,493,369/21,646
  6. Step 6: Final answer
    x = 107,386.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.