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Finding the Third Proportional to 6,766 and 15,646

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Solution

The third proportional to 6,766 and 15,646 is: 36,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766 : 15,646 = 15,646 : x
  2. Step 2: Convert to fraction form
    6,766/15,646 = 15,646/x
  3. Step 3: Cross multiply
    6,766x = 15,646 × 15,646
  4. Step 4: Simplify right side
    6,766x = 244,797,316
  5. Step 5: Solve for x
    x = 244,797,316/6,766
  6. Step 6: Final answer
    x = 36,180.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.