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Finding the Third Proportional to 3,077 and 4,351

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Solution

The third proportional to 3,077 and 4,351 is: 6,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 4,351 = 4,351 : x
  2. Step 2: Convert to fraction form
    3,077/4,351 = 4,351/x
  3. Step 3: Cross multiply
    3,077x = 4,351 × 4,351
  4. Step 4: Simplify right side
    3,077x = 18,931,201
  5. Step 5: Solve for x
    x = 18,931,201/3,077
  6. Step 6: Final answer
    x = 6,152.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.