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Finding the Third Proportional to 12,687.75 and 14,996.25

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Solution

The third proportional to 12,687.75 and 14,996.25 is: 17,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.75 : 14,996.25 = 14,996.25 : x
  2. Step 2: Convert to fraction form
    12,687.75/14,996.25 = 14,996.25/x
  3. Step 3: Cross multiply
    12,687.75x = 14,996.25 × 14,996.25
  4. Step 4: Simplify right side
    12,687.75x = 224,887,514.06
  5. Step 5: Solve for x
    x = 224,887,514.06/12,687.75
  6. Step 6: Final answer
    x = 17,724.78

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.