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Finding the Third Proportional to 12,714 and 17,640

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Solution

The third proportional to 12,714 and 17,640 is: 24,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714 : 17,640 = 17,640 : x
  2. Step 2: Convert to fraction form
    12,714/17,640 = 17,640/x
  3. Step 3: Cross multiply
    12,714x = 17,640 × 17,640
  4. Step 4: Simplify right side
    12,714x = 311,169,600
  5. Step 5: Solve for x
    x = 311,169,600/12,714
  6. Step 6: Final answer
    x = 24,474.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.