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Finding the Third Proportional to 13,721.75 and 20,492.38

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Solution

The third proportional to 13,721.75 and 20,492.38 is: 30,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.75 : 20,492.38 = 20,492.38 : x
  2. Step 2: Convert to fraction form
    13,721.75/20,492.38 = 20,492.38/x
  3. Step 3: Cross multiply
    13,721.75x = 20,492.38 × 20,492.38
  4. Step 4: Simplify right side
    13,721.75x = 419,937,433.14
  5. Step 5: Solve for x
    x = 419,937,433.14/13,721.75
  6. Step 6: Final answer
    x = 30,603.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.