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Finding the Third Proportional to 14,305 and 29,918

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Solution

The third proportional to 14,305 and 29,918 is: 62,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305 : 29,918 = 29,918 : x
  2. Step 2: Convert to fraction form
    14,305/29,918 = 29,918/x
  3. Step 3: Cross multiply
    14,305x = 29,918 × 29,918
  4. Step 4: Simplify right side
    14,305x = 895,086,724
  5. Step 5: Solve for x
    x = 895,086,724/14,305
  6. Step 6: Final answer
    x = 62,571.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.