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Finding the Third Proportional to 7,167.97 and 16,864.77

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Solution

The third proportional to 7,167.97 and 16,864.77 is: 39,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.97 : 16,864.77 = 16,864.77 : x
  2. Step 2: Convert to fraction form
    7,167.97/16,864.77 = 16,864.77/x
  3. Step 3: Cross multiply
    7,167.97x = 16,864.77 × 16,864.77
  4. Step 4: Simplify right side
    7,167.97x = 284,420,451.34
  5. Step 5: Solve for x
    x = 284,420,451.34/7,167.97
  6. Step 6: Final answer
    x = 39,679.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.