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Finding the Third Proportional to 6,766 and 15,862

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Solution

The third proportional to 6,766 and 15,862 is: 37,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766 : 15,862 = 15,862 : x
  2. Step 2: Convert to fraction form
    6,766/15,862 = 15,862/x
  3. Step 3: Cross multiply
    6,766x = 15,862 × 15,862
  4. Step 4: Simplify right side
    6,766x = 251,603,044
  5. Step 5: Solve for x
    x = 251,603,044/6,766
  6. Step 6: Final answer
    x = 37,186.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.