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Finding the Third Proportional to 3,407.63 and 7,336.69

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Solution

The third proportional to 3,407.63 and 7,336.69 is: 15,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.63 : 7,336.69 = 7,336.69 : x
  2. Step 2: Convert to fraction form
    3,407.63/7,336.69 = 7,336.69/x
  3. Step 3: Cross multiply
    3,407.63x = 7,336.69 × 7,336.69
  4. Step 4: Simplify right side
    3,407.63x = 53,826,983.47
  5. Step 5: Solve for x
    x = 53,826,983.47/3,407.63
  6. Step 6: Final answer
    x = 15,796.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.