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Finding the Third Proportional to 8,161 and 8,899

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Solution

The third proportional to 8,161 and 8,899 is: 9,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161 : 8,899 = 8,899 : x
  2. Step 2: Convert to fraction form
    8,161/8,899 = 8,899/x
  3. Step 3: Cross multiply
    8,161x = 8,899 × 8,899
  4. Step 4: Simplify right side
    8,161x = 79,192,201
  5. Step 5: Solve for x
    x = 79,192,201/8,161
  6. Step 6: Final answer
    x = 9,703.74

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.