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Finding the Third Proportional to 7,894.23 and 16,882.59

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Solution

The third proportional to 7,894.23 and 16,882.59 is: 36,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.23 : 16,882.59 = 16,882.59 : x
  2. Step 2: Convert to fraction form
    7,894.23/16,882.59 = 16,882.59/x
  3. Step 3: Cross multiply
    7,894.23x = 16,882.59 × 16,882.59
  4. Step 4: Simplify right side
    7,894.23x = 285,021,971.73
  5. Step 5: Solve for x
    x = 285,021,971.73/7,894.23
  6. Step 6: Final answer
    x = 36,105.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.