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Finding the Third Proportional to 9,947 and 14,963

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Solution

The third proportional to 9,947 and 14,963 is: 22,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 14,963 = 14,963 : x
  2. Step 2: Convert to fraction form
    9,947/14,963 = 14,963/x
  3. Step 3: Cross multiply
    9,947x = 14,963 × 14,963
  4. Step 4: Simplify right side
    9,947x = 223,891,369
  5. Step 5: Solve for x
    x = 223,891,369/9,947
  6. Step 6: Final answer
    x = 22,508.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.