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Finding the Third Proportional to 16,091.16 and 34,257.30

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Solution

The third proportional to 16,091.16 and 34,257.30 is: 72,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.16 : 34,257.30 = 34,257.30 : x
  2. Step 2: Convert to fraction form
    16,091.16/34,257.30 = 34,257.30/x
  3. Step 3: Cross multiply
    16,091.16x = 34,257.30 × 34,257.30
  4. Step 4: Simplify right side
    16,091.16x = 1,173,562,924.45
  5. Step 5: Solve for x
    x = 1,173,562,924.45/16,091.16
  6. Step 6: Final answer
    x = 72,932.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.