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Finding the Third Proportional to 9,964 and 14,098

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Solution

The third proportional to 9,964 and 14,098 is: 19,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 14,098 = 14,098 : x
  2. Step 2: Convert to fraction form
    9,964/14,098 = 14,098/x
  3. Step 3: Cross multiply
    9,964x = 14,098 × 14,098
  4. Step 4: Simplify right side
    9,964x = 198,753,604
  5. Step 5: Solve for x
    x = 198,753,604/9,964
  6. Step 6: Final answer
    x = 19,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.