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Finding the Third Proportional to 21,706 and 44,563

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Solution

The third proportional to 21,706 and 44,563 is: 91,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706 : 44,563 = 44,563 : x
  2. Step 2: Convert to fraction form
    21,706/44,563 = 44,563/x
  3. Step 3: Cross multiply
    21,706x = 44,563 × 44,563
  4. Step 4: Simplify right side
    21,706x = 1,985,860,969
  5. Step 5: Solve for x
    x = 1,985,860,969/21,706
  6. Step 6: Final answer
    x = 91,489.03

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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.