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Finding the Third Proportional to 6,551 and 7,163

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Solution

The third proportional to 6,551 and 7,163 is: 7,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551 : 7,163 = 7,163 : x
  2. Step 2: Convert to fraction form
    6,551/7,163 = 7,163/x
  3. Step 3: Cross multiply
    6,551x = 7,163 × 7,163
  4. Step 4: Simplify right side
    6,551x = 51,308,569
  5. Step 5: Solve for x
    x = 51,308,569/6,551
  6. Step 6: Final answer
    x = 7,832.17

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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.