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Finding the Third Proportional to 3,035.81 and 3,999.38

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Solution

The third proportional to 3,035.81 and 3,999.38 is: 5,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035.81 : 3,999.38 = 3,999.38 : x
  2. Step 2: Convert to fraction form
    3,035.81/3,999.38 = 3,999.38/x
  3. Step 3: Cross multiply
    3,035.81x = 3,999.38 × 3,999.38
  4. Step 4: Simplify right side
    3,035.81x = 15,995,000.39
  5. Step 5: Solve for x
    x = 15,995,000.39/3,035.81
  6. Step 6: Final answer
    x = 5,268.77

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.