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Finding the Third Proportional to 6,705.75 and 14,531.44

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Solution

The third proportional to 6,705.75 and 14,531.44 is: 31,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.75 : 14,531.44 = 14,531.44 : x
  2. Step 2: Convert to fraction form
    6,705.75/14,531.44 = 14,531.44/x
  3. Step 3: Cross multiply
    6,705.75x = 14,531.44 × 14,531.44
  4. Step 4: Simplify right side
    6,705.75x = 211,162,675.82
  5. Step 5: Solve for x
    x = 211,162,675.82/6,705.75
  6. Step 6: Final answer
    x = 31,489.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.