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Finding the Third Proportional to 16,962 and 27,007.13

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Solution

The third proportional to 16,962 and 27,007.13 is: 43,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962 : 27,007.13 = 27,007.13 : x
  2. Step 2: Convert to fraction form
    16,962/27,007.13 = 27,007.13/x
  3. Step 3: Cross multiply
    16,962x = 27,007.13 × 27,007.13
  4. Step 4: Simplify right side
    16,962x = 729,384,800.77
  5. Step 5: Solve for x
    x = 729,384,800.77/16,962
  6. Step 6: Final answer
    x = 43,001.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.