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Finding the Third Proportional to 21,599 and 44,274

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Solution

The third proportional to 21,599 and 44,274 is: 90,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599 : 44,274 = 44,274 : x
  2. Step 2: Convert to fraction form
    21,599/44,274 = 44,274/x
  3. Step 3: Cross multiply
    21,599x = 44,274 × 44,274
  4. Step 4: Simplify right side
    21,599x = 1,960,187,076
  5. Step 5: Solve for x
    x = 1,960,187,076/21,599
  6. Step 6: Final answer
    x = 90,753.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.