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Finding the Third Proportional to 3,099.52 and 6,409.76

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Solution

The third proportional to 3,099.52 and 6,409.76 is: 13,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.52 : 6,409.76 = 6,409.76 : x
  2. Step 2: Convert to fraction form
    3,099.52/6,409.76 = 6,409.76/x
  3. Step 3: Cross multiply
    3,099.52x = 6,409.76 × 6,409.76
  4. Step 4: Simplify right side
    3,099.52x = 41,084,995.21
  5. Step 5: Solve for x
    x = 41,084,995.21/3,099.52
  6. Step 6: Final answer
    x = 13,255.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.