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Finding the Third Proportional to 13,222 and 18,008

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Solution

The third proportional to 13,222 and 18,008 is: 24,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222 : 18,008 = 18,008 : x
  2. Step 2: Convert to fraction form
    13,222/18,008 = 18,008/x
  3. Step 3: Cross multiply
    13,222x = 18,008 × 18,008
  4. Step 4: Simplify right side
    13,222x = 324,288,064
  5. Step 5: Solve for x
    x = 324,288,064/13,222
  6. Step 6: Final answer
    x = 24,526.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.