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Finding the Third Proportional to 2,927 and 3,536

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Solution

The third proportional to 2,927 and 3,536 is: 4,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927 : 3,536 = 3,536 : x
  2. Step 2: Convert to fraction form
    2,927/3,536 = 3,536/x
  3. Step 3: Cross multiply
    2,927x = 3,536 × 3,536
  4. Step 4: Simplify right side
    2,927x = 12,503,296
  5. Step 5: Solve for x
    x = 12,503,296/2,927
  6. Step 6: Final answer
    x = 4,271.71

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.