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Finding the Third Proportional to 14,631 and 29,715

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Solution

The third proportional to 14,631 and 29,715 is: 60,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631 : 29,715 = 29,715 : x
  2. Step 2: Convert to fraction form
    14,631/29,715 = 29,715/x
  3. Step 3: Cross multiply
    14,631x = 29,715 × 29,715
  4. Step 4: Simplify right side
    14,631x = 882,981,225
  5. Step 5: Solve for x
    x = 882,981,225/14,631
  6. Step 6: Final answer
    x = 60,350.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.