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Finding the Third Proportional to 13,863 and 19,401.50

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Solution

The third proportional to 13,863 and 19,401.50 is: 27,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 19,401.50 = 19,401.50 : x
  2. Step 2: Convert to fraction form
    13,863/19,401.50 = 19,401.50/x
  3. Step 3: Cross multiply
    13,863x = 19,401.50 × 19,401.50
  4. Step 4: Simplify right side
    13,863x = 376,418,202.25
  5. Step 5: Solve for x
    x = 376,418,202.25/13,863
  6. Step 6: Final answer
    x = 27,152.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.