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Finding the Third Proportional to 3,240.63 and 6,942.59

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Solution

The third proportional to 3,240.63 and 6,942.59 is: 14,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240.63 : 6,942.59 = 6,942.59 : x
  2. Step 2: Convert to fraction form
    3,240.63/6,942.59 = 6,942.59/x
  3. Step 3: Cross multiply
    3,240.63x = 6,942.59 × 6,942.59
  4. Step 4: Simplify right side
    3,240.63x = 48,199,499.50
  5. Step 5: Solve for x
    x = 48,199,499.50/3,240.63
  6. Step 6: Final answer
    x = 14,873.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.