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Finding the Third Proportional to 13,883.06 and 29,951.44

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Solution

The third proportional to 13,883.06 and 29,951.44 is: 64,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.06 : 29,951.44 = 29,951.44 : x
  2. Step 2: Convert to fraction form
    13,883.06/29,951.44 = 29,951.44/x
  3. Step 3: Cross multiply
    13,883.06x = 29,951.44 × 29,951.44
  4. Step 4: Simplify right side
    13,883.06x = 897,088,608.32
  5. Step 5: Solve for x
    x = 897,088,608.32/13,883.06
  6. Step 6: Final answer
    x = 64,617.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.