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Finding the Third Proportional to 7,147 and 14,641

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Solution

The third proportional to 7,147 and 14,641 is: 29,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147 : 14,641 = 14,641 : x
  2. Step 2: Convert to fraction form
    7,147/14,641 = 14,641/x
  3. Step 3: Cross multiply
    7,147x = 14,641 × 14,641
  4. Step 4: Simplify right side
    7,147x = 214,358,881
  5. Step 5: Solve for x
    x = 214,358,881/7,147
  6. Step 6: Final answer
    x = 29,992.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.