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Finding the Third Proportional to 16,954.38 and 36,827.66

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Solution

The third proportional to 16,954.38 and 36,827.66 is: 79,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,954.38 : 36,827.66 = 36,827.66 : x
  2. Step 2: Convert to fraction form
    16,954.38/36,827.66 = 36,827.66/x
  3. Step 3: Cross multiply
    16,954.38x = 36,827.66 × 36,827.66
  4. Step 4: Simplify right side
    16,954.38x = 1,356,276,264.87
  5. Step 5: Solve for x
    x = 1,356,276,264.87/16,954.38
  6. Step 6: Final answer
    x = 79,995.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.