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Finding the Third Proportional to 14,640 and 19,944

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Solution

The third proportional to 14,640 and 19,944 is: 27,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 19,944 = 19,944 : x
  2. Step 2: Convert to fraction form
    14,640/19,944 = 19,944/x
  3. Step 3: Cross multiply
    14,640x = 19,944 × 19,944
  4. Step 4: Simplify right side
    14,640x = 397,763,136
  5. Step 5: Solve for x
    x = 397,763,136/14,640
  6. Step 6: Final answer
    x = 27,169.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.