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Finding the Third Proportional to 9,586 and 16,832

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Solution

The third proportional to 9,586 and 16,832 is: 29,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586 : 16,832 = 16,832 : x
  2. Step 2: Convert to fraction form
    9,586/16,832 = 16,832/x
  3. Step 3: Cross multiply
    9,586x = 16,832 × 16,832
  4. Step 4: Simplify right side
    9,586x = 283,316,224
  5. Step 5: Solve for x
    x = 283,316,224/9,586
  6. Step 6: Final answer
    x = 29,555.21

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.