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Finding the Third Proportional to 16,238.81 and 34,894.97

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Solution

The third proportional to 16,238.81 and 34,894.97 is: 74,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.81 : 34,894.97 = 34,894.97 : x
  2. Step 2: Convert to fraction form
    16,238.81/34,894.97 = 34,894.97/x
  3. Step 3: Cross multiply
    16,238.81x = 34,894.97 × 34,894.97
  4. Step 4: Simplify right side
    16,238.81x = 1,217,658,844.06
  5. Step 5: Solve for x
    x = 1,217,658,844.06/16,238.81
  6. Step 6: Final answer
    x = 74,984.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.