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Finding the Third Proportional to 2,136 and 4,963

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Solution

The third proportional to 2,136 and 4,963 is: 11,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136 : 4,963 = 4,963 : x
  2. Step 2: Convert to fraction form
    2,136/4,963 = 4,963/x
  3. Step 3: Cross multiply
    2,136x = 4,963 × 4,963
  4. Step 4: Simplify right side
    2,136x = 24,631,369
  5. Step 5: Solve for x
    x = 24,631,369/2,136
  6. Step 6: Final answer
    x = 11,531.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.