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Finding the Third Proportional to 6,181 and 9,395

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Solution

The third proportional to 6,181 and 9,395 is: 14,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181 : 9,395 = 9,395 : x
  2. Step 2: Convert to fraction form
    6,181/9,395 = 9,395/x
  3. Step 3: Cross multiply
    6,181x = 9,395 × 9,395
  4. Step 4: Simplify right side
    6,181x = 88,266,025
  5. Step 5: Solve for x
    x = 88,266,025/6,181
  6. Step 6: Final answer
    x = 14,280.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.