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Finding the Third Proportional to 27,764 and 44,406

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Solution

The third proportional to 27,764 and 44,406 is: 71,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 44,406 = 44,406 : x
  2. Step 2: Convert to fraction form
    27,764/44,406 = 44,406/x
  3. Step 3: Cross multiply
    27,764x = 44,406 × 44,406
  4. Step 4: Simplify right side
    27,764x = 1,971,892,836
  5. Step 5: Solve for x
    x = 1,971,892,836/27,764
  6. Step 6: Final answer
    x = 71,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.