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Finding the Third Proportional to 3,146 and 5,692

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Solution

The third proportional to 3,146 and 5,692 is: 10,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 5,692 = 5,692 : x
  2. Step 2: Convert to fraction form
    3,146/5,692 = 5,692/x
  3. Step 3: Cross multiply
    3,146x = 5,692 × 5,692
  4. Step 4: Simplify right side
    3,146x = 32,398,864
  5. Step 5: Solve for x
    x = 32,398,864/3,146
  6. Step 6: Final answer
    x = 10,298.43

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.