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Finding the Third Proportional to 13,350 and 17,897

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Solution

The third proportional to 13,350 and 17,897 is: 23,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350 : 17,897 = 17,897 : x
  2. Step 2: Convert to fraction form
    13,350/17,897 = 17,897/x
  3. Step 3: Cross multiply
    13,350x = 17,897 × 17,897
  4. Step 4: Simplify right side
    13,350x = 320,302,609
  5. Step 5: Solve for x
    x = 320,302,609/13,350
  6. Step 6: Final answer
    x = 23,992.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.