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Finding the Third Proportional to 13,845 and 22,008

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Solution

The third proportional to 13,845 and 22,008 is: 34,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845 : 22,008 = 22,008 : x
  2. Step 2: Convert to fraction form
    13,845/22,008 = 22,008/x
  3. Step 3: Cross multiply
    13,845x = 22,008 × 22,008
  4. Step 4: Simplify right side
    13,845x = 484,352,064
  5. Step 5: Solve for x
    x = 484,352,064/13,845
  6. Step 6: Final answer
    x = 34,983.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.