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Finding the Third Proportional to 10,629 and 22,419

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Solution

The third proportional to 10,629 and 22,419 is: 47,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629 : 22,419 = 22,419 : x
  2. Step 2: Convert to fraction form
    10,629/22,419 = 22,419/x
  3. Step 3: Cross multiply
    10,629x = 22,419 × 22,419
  4. Step 4: Simplify right side
    10,629x = 502,611,561
  5. Step 5: Solve for x
    x = 502,611,561/10,629
  6. Step 6: Final answer
    x = 47,286.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.