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Finding the Third Proportional to 21,760 and 32,885

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Solution

The third proportional to 21,760 and 32,885 is: 49,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760 : 32,885 = 32,885 : x
  2. Step 2: Convert to fraction form
    21,760/32,885 = 32,885/x
  3. Step 3: Cross multiply
    21,760x = 32,885 × 32,885
  4. Step 4: Simplify right side
    21,760x = 1,081,423,225
  5. Step 5: Solve for x
    x = 1,081,423,225/21,760
  6. Step 6: Final answer
    x = 49,697.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.