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Finding the Third Proportional to 8,693.58 and 16,694.54

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Solution

The third proportional to 8,693.58 and 16,694.54 is: 32,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.58 : 16,694.54 = 16,694.54 : x
  2. Step 2: Convert to fraction form
    8,693.58/16,694.54 = 16,694.54/x
  3. Step 3: Cross multiply
    8,693.58x = 16,694.54 × 16,694.54
  4. Step 4: Simplify right side
    8,693.58x = 278,707,764.94
  5. Step 5: Solve for x
    x = 278,707,764.94/8,693.58
  6. Step 6: Final answer
    x = 32,059.04

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.