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Finding the Third Proportional to 7,166 and 7,790

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Solution

The third proportional to 7,166 and 7,790 is: 8,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166 : 7,790 = 7,790 : x
  2. Step 2: Convert to fraction form
    7,166/7,790 = 7,790/x
  3. Step 3: Cross multiply
    7,166x = 7,790 × 7,790
  4. Step 4: Simplify right side
    7,166x = 60,684,100
  5. Step 5: Solve for x
    x = 60,684,100/7,166
  6. Step 6: Final answer
    x = 8,468.34

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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.