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Finding the Third Proportional to 6,100 and 8,642

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Solution

The third proportional to 6,100 and 8,642 is: 12,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100 : 8,642 = 8,642 : x
  2. Step 2: Convert to fraction form
    6,100/8,642 = 8,642/x
  3. Step 3: Cross multiply
    6,100x = 8,642 × 8,642
  4. Step 4: Simplify right side
    6,100x = 74,684,164
  5. Step 5: Solve for x
    x = 74,684,164/6,100
  6. Step 6: Final answer
    x = 12,243.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.