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Finding the Third Proportional to 14,960 and 31,469

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Solution

The third proportional to 14,960 and 31,469 is: 66,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960 : 31,469 = 31,469 : x
  2. Step 2: Convert to fraction form
    14,960/31,469 = 31,469/x
  3. Step 3: Cross multiply
    14,960x = 31,469 × 31,469
  4. Step 4: Simplify right side
    14,960x = 990,297,961
  5. Step 5: Solve for x
    x = 990,297,961/14,960
  6. Step 6: Final answer
    x = 66,196.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.