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Finding the Third Proportional to 13,792.78 and 21,156.19

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Solution

The third proportional to 13,792.78 and 21,156.19 is: 32,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.78 : 21,156.19 = 21,156.19 : x
  2. Step 2: Convert to fraction form
    13,792.78/21,156.19 = 21,156.19/x
  3. Step 3: Cross multiply
    13,792.78x = 21,156.19 × 21,156.19
  4. Step 4: Simplify right side
    13,792.78x = 447,584,269.54
  5. Step 5: Solve for x
    x = 447,584,269.54/13,792.78
  6. Step 6: Final answer
    x = 32,450.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.