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Finding the Third Proportional to 3,102 and 4,071

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Solution

The third proportional to 3,102 and 4,071 is: 5,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102 : 4,071 = 4,071 : x
  2. Step 2: Convert to fraction form
    3,102/4,071 = 4,071/x
  3. Step 3: Cross multiply
    3,102x = 4,071 × 4,071
  4. Step 4: Simplify right side
    3,102x = 16,573,041
  5. Step 5: Solve for x
    x = 16,573,041/3,102
  6. Step 6: Final answer
    x = 5,342.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.