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Finding the Third Proportional to 8,316.42 and 11,696.91

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Solution

The third proportional to 8,316.42 and 11,696.91 is: 16,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.42 : 11,696.91 = 11,696.91 : x
  2. Step 2: Convert to fraction form
    8,316.42/11,696.91 = 11,696.91/x
  3. Step 3: Cross multiply
    8,316.42x = 11,696.91 × 11,696.91
  4. Step 4: Simplify right side
    8,316.42x = 136,817,615.82
  5. Step 5: Solve for x
    x = 136,817,615.82/8,316.42
  6. Step 6: Final answer
    x = 16,451.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.