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Finding the Third Proportional to 14,006 and 29,864

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Solution

The third proportional to 14,006 and 29,864 is: 63,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 29,864 = 29,864 : x
  2. Step 2: Convert to fraction form
    14,006/29,864 = 29,864/x
  3. Step 3: Cross multiply
    14,006x = 29,864 × 29,864
  4. Step 4: Simplify right side
    14,006x = 891,858,496
  5. Step 5: Solve for x
    x = 891,858,496/14,006
  6. Step 6: Final answer
    x = 63,676.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.