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Finding the Third Proportional to 3,710.81 and 6,960.94

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Solution

The third proportional to 3,710.81 and 6,960.94 is: 13,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.81 : 6,960.94 = 6,960.94 : x
  2. Step 2: Convert to fraction form
    3,710.81/6,960.94 = 6,960.94/x
  3. Step 3: Cross multiply
    3,710.81x = 6,960.94 × 6,960.94
  4. Step 4: Simplify right side
    3,710.81x = 48,454,650.88
  5. Step 5: Solve for x
    x = 48,454,650.88/3,710.81
  6. Step 6: Final answer
    x = 13,057.69

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.