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Finding the Third Proportional to 3,922.29 and 6,056.43

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Solution

The third proportional to 3,922.29 and 6,056.43 is: 9,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.29 : 6,056.43 = 6,056.43 : x
  2. Step 2: Convert to fraction form
    3,922.29/6,056.43 = 6,056.43/x
  3. Step 3: Cross multiply
    3,922.29x = 6,056.43 × 6,056.43
  4. Step 4: Simplify right side
    3,922.29x = 36,680,355.35
  5. Step 5: Solve for x
    x = 36,680,355.35/3,922.29
  6. Step 6: Final answer
    x = 9,351.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.