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Finding the Third Proportional to 5,461.17 and 9,409.92

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Solution

The third proportional to 5,461.17 and 9,409.92 is: 16,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.17 : 9,409.92 = 9,409.92 : x
  2. Step 2: Convert to fraction form
    5,461.17/9,409.92 = 9,409.92/x
  3. Step 3: Cross multiply
    5,461.17x = 9,409.92 × 9,409.92
  4. Step 4: Simplify right side
    5,461.17x = 88,546,629.69
  5. Step 5: Solve for x
    x = 88,546,629.69/5,461.17
  6. Step 6: Final answer
    x = 16,213.85

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.