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Finding the Third Proportional to 4,107 and 8,790

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Solution

The third proportional to 4,107 and 8,790 is: 18,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 8,790 = 8,790 : x
  2. Step 2: Convert to fraction form
    4,107/8,790 = 8,790/x
  3. Step 3: Cross multiply
    4,107x = 8,790 × 8,790
  4. Step 4: Simplify right side
    4,107x = 77,264,100
  5. Step 5: Solve for x
    x = 77,264,100/4,107
  6. Step 6: Final answer
    x = 18,812.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.