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Finding the Third Proportional to 12,897 and 17,400.75

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Solution

The third proportional to 12,897 and 17,400.75 is: 23,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 17,400.75 = 17,400.75 : x
  2. Step 2: Convert to fraction form
    12,897/17,400.75 = 17,400.75/x
  3. Step 3: Cross multiply
    12,897x = 17,400.75 × 17,400.75
  4. Step 4: Simplify right side
    12,897x = 302,786,100.56
  5. Step 5: Solve for x
    x = 302,786,100.56/12,897
  6. Step 6: Final answer
    x = 23,477.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.