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Finding the Third Proportional to 13,883.88 and 30,469.63

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Solution

The third proportional to 13,883.88 and 30,469.63 is: 66,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.88 : 30,469.63 = 30,469.63 : x
  2. Step 2: Convert to fraction form
    13,883.88/30,469.63 = 30,469.63/x
  3. Step 3: Cross multiply
    13,883.88x = 30,469.63 × 30,469.63
  4. Step 4: Simplify right side
    13,883.88x = 928,398,047.64
  5. Step 5: Solve for x
    x = 928,398,047.64/13,883.88
  6. Step 6: Final answer
    x = 66,868.80

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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.