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Finding the Third Proportional to 6,972 and 9,963

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Solution

The third proportional to 6,972 and 9,963 is: 14,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 9,963 = 9,963 : x
  2. Step 2: Convert to fraction form
    6,972/9,963 = 9,963/x
  3. Step 3: Cross multiply
    6,972x = 9,963 × 9,963
  4. Step 4: Simplify right side
    6,972x = 99,261,369
  5. Step 5: Solve for x
    x = 99,261,369/6,972
  6. Step 6: Final answer
    x = 14,237.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.