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Finding the Third Proportional to 13,939.50 and 30,469.50

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Solution

The third proportional to 13,939.50 and 30,469.50 is: 66,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.50 : 30,469.50 = 30,469.50 : x
  2. Step 2: Convert to fraction form
    13,939.50/30,469.50 = 30,469.50/x
  3. Step 3: Cross multiply
    13,939.50x = 30,469.50 × 30,469.50
  4. Step 4: Simplify right side
    13,939.50x = 928,390,430.25
  5. Step 5: Solve for x
    x = 928,390,430.25/13,939.50
  6. Step 6: Final answer
    x = 66,601.42

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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.