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Finding the Third Proportional to 21,509 and 50,606

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Solution

The third proportional to 21,509 and 50,606 is: 119,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509 : 50,606 = 50,606 : x
  2. Step 2: Convert to fraction form
    21,509/50,606 = 50,606/x
  3. Step 3: Cross multiply
    21,509x = 50,606 × 50,606
  4. Step 4: Simplify right side
    21,509x = 2,560,967,236
  5. Step 5: Solve for x
    x = 2,560,967,236/21,509
  6. Step 6: Final answer
    x = 119,064.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.