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Finding the Third Proportional to 2,902.71 and 6,361.66

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Solution

The third proportional to 2,902.71 and 6,361.66 is: 13,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.71 : 6,361.66 = 6,361.66 : x
  2. Step 2: Convert to fraction form
    2,902.71/6,361.66 = 6,361.66/x
  3. Step 3: Cross multiply
    2,902.71x = 6,361.66 × 6,361.66
  4. Step 4: Simplify right side
    2,902.71x = 40,470,769.64
  5. Step 5: Solve for x
    x = 40,470,769.64/2,902.71
  6. Step 6: Final answer
    x = 13,942.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.