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Finding the Third Proportional to 13,718 and 22,089

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Solution

The third proportional to 13,718 and 22,089 is: 35,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718 : 22,089 = 22,089 : x
  2. Step 2: Convert to fraction form
    13,718/22,089 = 22,089/x
  3. Step 3: Cross multiply
    13,718x = 22,089 × 22,089
  4. Step 4: Simplify right side
    13,718x = 487,923,921
  5. Step 5: Solve for x
    x = 487,923,921/13,718
  6. Step 6: Final answer
    x = 35,568.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.