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Finding the Third Proportional to 13,640.91 and 30,149.72

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Solution

The third proportional to 13,640.91 and 30,149.72 is: 66,638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.91 : 30,149.72 = 30,149.72 : x
  2. Step 2: Convert to fraction form
    13,640.91/30,149.72 = 30,149.72/x
  3. Step 3: Cross multiply
    13,640.91x = 30,149.72 × 30,149.72
  4. Step 4: Simplify right side
    13,640.91x = 909,005,540.70
  5. Step 5: Solve for x
    x = 909,005,540.70/13,640.91
  6. Step 6: Final answer
    x = 66,638.21

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.