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Finding the Third Proportional to 3,771 and 7,146

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Solution

The third proportional to 3,771 and 7,146 is: 13,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 7,146 = 7,146 : x
  2. Step 2: Convert to fraction form
    3,771/7,146 = 7,146/x
  3. Step 3: Cross multiply
    3,771x = 7,146 × 7,146
  4. Step 4: Simplify right side
    3,771x = 51,065,316
  5. Step 5: Solve for x
    x = 51,065,316/3,771
  6. Step 6: Final answer
    x = 13,541.58

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.