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Finding the Third Proportional to 16,600.13 and 35,966

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Solution

The third proportional to 16,600.13 and 35,966 is: 77,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.13 : 35,966 = 35,966 : x
  2. Step 2: Convert to fraction form
    16,600.13/35,966 = 35,966/x
  3. Step 3: Cross multiply
    16,600.13x = 35,966 × 35,966
  4. Step 4: Simplify right side
    16,600.13x = 1,293,553,156
  5. Step 5: Solve for x
    x = 1,293,553,156/16,600.13
  6. Step 6: Final answer
    x = 77,924.30

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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.