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Finding the Third Proportional to 21,706 and 44,564

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Solution

The third proportional to 21,706 and 44,564 is: 91,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 44,564 = 44,564 : x
  2. Step 2: Convert to fraction form
    21,706/44,564 = 44,564/x
  3. Step 3: Cross multiply
    21,706x = 44,564 × 44,564
  4. Step 4: Simplify right side
    21,706x = 1,985,950,096
  5. Step 5: Solve for x
    x = 1,985,950,096/21,706
  6. Step 6: Final answer
    x = 91,493.14

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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.