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Finding the Third Proportional to 12,084 and 15,963

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Solution

The third proportional to 12,084 and 15,963 is: 21,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 15,963 = 15,963 : x
  2. Step 2: Convert to fraction form
    12,084/15,963 = 15,963/x
  3. Step 3: Cross multiply
    12,084x = 15,963 × 15,963
  4. Step 4: Simplify right side
    12,084x = 254,817,369
  5. Step 5: Solve for x
    x = 254,817,369/12,084
  6. Step 6: Final answer
    x = 21,087.17

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.