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Finding the Third Proportional to 6,682 and 10,023

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Solution

The third proportional to 6,682 and 10,023 is: 15,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682 : 10,023 = 10,023 : x
  2. Step 2: Convert to fraction form
    6,682/10,023 = 10,023/x
  3. Step 3: Cross multiply
    6,682x = 10,023 × 10,023
  4. Step 4: Simplify right side
    6,682x = 100,460,529
  5. Step 5: Solve for x
    x = 100,460,529/6,682
  6. Step 6: Final answer
    x = 15,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.