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Finding the Third Proportional to 4,100.63 and 6,361.66

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Solution

The third proportional to 4,100.63 and 6,361.66 is: 9,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.63 : 6,361.66 = 6,361.66 : x
  2. Step 2: Convert to fraction form
    4,100.63/6,361.66 = 6,361.66/x
  3. Step 3: Cross multiply
    4,100.63x = 6,361.66 × 6,361.66
  4. Step 4: Simplify right side
    4,100.63x = 40,470,769.64
  5. Step 5: Solve for x
    x = 40,470,769.64/4,100.63
  6. Step 6: Final answer
    x = 9,869.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.