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Finding the Third Proportional to 2,963 and 6,062

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Solution

The third proportional to 2,963 and 6,062 is: 12,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963 : 6,062 = 6,062 : x
  2. Step 2: Convert to fraction form
    2,963/6,062 = 6,062/x
  3. Step 3: Cross multiply
    2,963x = 6,062 × 6,062
  4. Step 4: Simplify right side
    2,963x = 36,747,844
  5. Step 5: Solve for x
    x = 36,747,844/2,963
  6. Step 6: Final answer
    x = 12,402.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.