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Finding the Third Proportional to 7,165.13 and 16,895.25

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Solution

The third proportional to 7,165.13 and 16,895.25 is: 39,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.13 : 16,895.25 = 16,895.25 : x
  2. Step 2: Convert to fraction form
    7,165.13/16,895.25 = 16,895.25/x
  3. Step 3: Cross multiply
    7,165.13x = 16,895.25 × 16,895.25
  4. Step 4: Simplify right side
    7,165.13x = 285,449,472.56
  5. Step 5: Solve for x
    x = 285,449,472.56/7,165.13
  6. Step 6: Final answer
    x = 39,838.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.