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Finding the Third Proportional to 13,382.06 and 29,231.06

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Solution

The third proportional to 13,382.06 and 29,231.06 is: 63,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.06 : 29,231.06 = 29,231.06 : x
  2. Step 2: Convert to fraction form
    13,382.06/29,231.06 = 29,231.06/x
  3. Step 3: Cross multiply
    13,382.06x = 29,231.06 × 29,231.06
  4. Step 4: Simplify right side
    13,382.06x = 854,455,014.88
  5. Step 5: Solve for x
    x = 854,455,014.88/13,382.06
  6. Step 6: Final answer
    x = 63,850.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.