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Finding the Third Proportional to 13,614.75 and 17,361

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Solution

The third proportional to 13,614.75 and 17,361 is: 22,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 17,361 = 17,361 : x
  2. Step 2: Convert to fraction form
    13,614.75/17,361 = 17,361/x
  3. Step 3: Cross multiply
    13,614.75x = 17,361 × 17,361
  4. Step 4: Simplify right side
    13,614.75x = 301,404,321
  5. Step 5: Solve for x
    x = 301,404,321/13,614.75
  6. Step 6: Final answer
    x = 22,138.07

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.