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Finding the Third Proportional to 12,897 and 22,992.75

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Solution

The third proportional to 12,897 and 22,992.75 is: 40,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897 : 22,992.75 = 22,992.75 : x
  2. Step 2: Convert to fraction form
    12,897/22,992.75 = 22,992.75/x
  3. Step 3: Cross multiply
    12,897x = 22,992.75 × 22,992.75
  4. Step 4: Simplify right side
    12,897x = 528,666,552.56
  5. Step 5: Solve for x
    x = 528,666,552.56/12,897
  6. Step 6: Final answer
    x = 40,991.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.