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Finding the Third Proportional to 7,766 and 18,521

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Solution

The third proportional to 7,766 and 18,521 is: 44,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 18,521 = 18,521 : x
  2. Step 2: Convert to fraction form
    7,766/18,521 = 18,521/x
  3. Step 3: Cross multiply
    7,766x = 18,521 × 18,521
  4. Step 4: Simplify right side
    7,766x = 343,027,441
  5. Step 5: Solve for x
    x = 343,027,441/7,766
  6. Step 6: Final answer
    x = 44,170.41

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.