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Finding the Third Proportional to 6,033 and 7,131

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Solution

The third proportional to 6,033 and 7,131 is: 8,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033 : 7,131 = 7,131 : x
  2. Step 2: Convert to fraction form
    6,033/7,131 = 7,131/x
  3. Step 3: Cross multiply
    6,033x = 7,131 × 7,131
  4. Step 4: Simplify right side
    6,033x = 50,851,161
  5. Step 5: Solve for x
    x = 50,851,161/6,033
  6. Step 6: Final answer
    x = 8,428.83

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.