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Finding the Third Proportional to 6,689.14 and 10,416.73

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Solution

The third proportional to 6,689.14 and 10,416.73 is: 16,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.14 : 10,416.73 = 10,416.73 : x
  2. Step 2: Convert to fraction form
    6,689.14/10,416.73 = 10,416.73/x
  3. Step 3: Cross multiply
    6,689.14x = 10,416.73 × 10,416.73
  4. Step 4: Simplify right side
    6,689.14x = 108,508,192.28
  5. Step 5: Solve for x
    x = 108,508,192.28/6,689.14
  6. Step 6: Final answer
    x = 16,221.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.