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Finding the Third Proportional to 13,598 and 20,145

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Solution

The third proportional to 13,598 and 20,145 is: 29,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598 : 20,145 = 20,145 : x
  2. Step 2: Convert to fraction form
    13,598/20,145 = 20,145/x
  3. Step 3: Cross multiply
    13,598x = 20,145 × 20,145
  4. Step 4: Simplify right side
    13,598x = 405,821,025
  5. Step 5: Solve for x
    x = 405,821,025/13,598
  6. Step 6: Final answer
    x = 29,844.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.