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Finding the Third Proportional to 21,705 and 48,351

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Solution

The third proportional to 21,705 and 48,351 is: 107,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705 : 48,351 = 48,351 : x
  2. Step 2: Convert to fraction form
    21,705/48,351 = 48,351/x
  3. Step 3: Cross multiply
    21,705x = 48,351 × 48,351
  4. Step 4: Simplify right side
    21,705x = 2,337,819,201
  5. Step 5: Solve for x
    x = 2,337,819,201/21,705
  6. Step 6: Final answer
    x = 107,708.79

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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.