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Finding the Third Proportional to 4,056.33 and 5,906.04

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Solution

The third proportional to 4,056.33 and 5,906.04 is: 8,599.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.33 : 5,906.04 = 5,906.04 : x
  2. Step 2: Convert to fraction form
    4,056.33/5,906.04 = 5,906.04/x
  3. Step 3: Cross multiply
    4,056.33x = 5,906.04 × 5,906.04
  4. Step 4: Simplify right side
    4,056.33x = 34,881,297.41
  5. Step 5: Solve for x
    x = 34,881,297.41/4,056.33
  6. Step 6: Final answer
    x = 8,599.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.