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Finding the Third Proportional to 2,522 and 4,963

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Solution

The third proportional to 2,522 and 4,963 is: 9,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522 : 4,963 = 4,963 : x
  2. Step 2: Convert to fraction form
    2,522/4,963 = 4,963/x
  3. Step 3: Cross multiply
    2,522x = 4,963 × 4,963
  4. Step 4: Simplify right side
    2,522x = 24,631,369
  5. Step 5: Solve for x
    x = 24,631,369/2,522
  6. Step 6: Final answer
    x = 9,766.60

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.