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Finding the Third Proportional to 6,508 and 10,854

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Solution

The third proportional to 6,508 and 10,854 is: 18,102.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 10,854 = 10,854 : x
  2. Step 2: Convert to fraction form
    6,508/10,854 = 10,854/x
  3. Step 3: Cross multiply
    6,508x = 10,854 × 10,854
  4. Step 4: Simplify right side
    6,508x = 117,809,316
  5. Step 5: Solve for x
    x = 117,809,316/6,508
  6. Step 6: Final answer
    x = 18,102.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.