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Finding the Third Proportional to 16,232.91 and 34,893.28

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Solution

The third proportional to 16,232.91 and 34,893.28 is: 75,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.91 : 34,893.28 = 34,893.28 : x
  2. Step 2: Convert to fraction form
    16,232.91/34,893.28 = 34,893.28/x
  3. Step 3: Cross multiply
    16,232.91x = 34,893.28 × 34,893.28
  4. Step 4: Simplify right side
    16,232.91x = 1,217,541,076.39
  5. Step 5: Solve for x
    x = 1,217,541,076.39/16,232.91
  6. Step 6: Final answer
    x = 75,004.50

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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.