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Finding the Third Proportional to 9,812 and 14,017

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Solution

The third proportional to 9,812 and 14,017 is: 20,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 14,017 = 14,017 : x
  2. Step 2: Convert to fraction form
    9,812/14,017 = 14,017/x
  3. Step 3: Cross multiply
    9,812x = 14,017 × 14,017
  4. Step 4: Simplify right side
    9,812x = 196,476,289
  5. Step 5: Solve for x
    x = 196,476,289/9,812
  6. Step 6: Final answer
    x = 20,024.08

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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.