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Finding the Third Proportional to 6,036 and 6,836

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Solution

The third proportional to 6,036 and 6,836 is: 7,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036 : 6,836 = 6,836 : x
  2. Step 2: Convert to fraction form
    6,036/6,836 = 6,836/x
  3. Step 3: Cross multiply
    6,036x = 6,836 × 6,836
  4. Step 4: Simplify right side
    6,036x = 46,730,896
  5. Step 5: Solve for x
    x = 46,730,896/6,036
  6. Step 6: Final answer
    x = 7,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.