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Finding the Third Proportional to 13,883.50 and 30,356

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Solution

The third proportional to 13,883.50 and 30,356 is: 66,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.50 : 30,356 = 30,356 : x
  2. Step 2: Convert to fraction form
    13,883.50/30,356 = 30,356/x
  3. Step 3: Cross multiply
    13,883.50x = 30,356 × 30,356
  4. Step 4: Simplify right side
    13,883.50x = 921,486,736
  5. Step 5: Solve for x
    x = 921,486,736/13,883.50
  6. Step 6: Final answer
    x = 66,372.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.