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Finding the Third Proportional to 3,539 and 8,264

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Solution

The third proportional to 3,539 and 8,264 is: 19,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539 : 8,264 = 8,264 : x
  2. Step 2: Convert to fraction form
    3,539/8,264 = 8,264/x
  3. Step 3: Cross multiply
    3,539x = 8,264 × 8,264
  4. Step 4: Simplify right side
    3,539x = 68,293,696
  5. Step 5: Solve for x
    x = 68,293,696/3,539
  6. Step 6: Final answer
    x = 19,297.46

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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.