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Finding the Third Proportional to 6,671 and 10,619

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Solution

The third proportional to 6,671 and 10,619 is: 16,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671 : 10,619 = 10,619 : x
  2. Step 2: Convert to fraction form
    6,671/10,619 = 10,619/x
  3. Step 3: Cross multiply
    6,671x = 10,619 × 10,619
  4. Step 4: Simplify right side
    6,671x = 112,763,161
  5. Step 5: Solve for x
    x = 112,763,161/6,671
  6. Step 6: Final answer
    x = 16,903.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.