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Finding the Third Proportional to 13,688 and 19,384

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Solution

The third proportional to 13,688 and 19,384 is: 27,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688 : 19,384 = 19,384 : x
  2. Step 2: Convert to fraction form
    13,688/19,384 = 19,384/x
  3. Step 3: Cross multiply
    13,688x = 19,384 × 19,384
  4. Step 4: Simplify right side
    13,688x = 375,739,456
  5. Step 5: Solve for x
    x = 375,739,456/13,688
  6. Step 6: Final answer
    x = 27,450.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.