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Finding the Third Proportional to 13,313 and 20,883.75

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Solution

The third proportional to 13,313 and 20,883.75 is: 32,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,313 : 20,883.75 = 20,883.75 : x
  2. Step 2: Convert to fraction form
    13,313/20,883.75 = 20,883.75/x
  3. Step 3: Cross multiply
    13,313x = 20,883.75 × 20,883.75
  4. Step 4: Simplify right side
    13,313x = 436,131,014.06
  5. Step 5: Solve for x
    x = 436,131,014.06/13,313
  6. Step 6: Final answer
    x = 32,759.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.