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Finding the Third Proportional to 6,678.56 and 14,362.31

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Solution

The third proportional to 6,678.56 and 14,362.31 is: 30,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.56 : 14,362.31 = 14,362.31 : x
  2. Step 2: Convert to fraction form
    6,678.56/14,362.31 = 14,362.31/x
  3. Step 3: Cross multiply
    6,678.56x = 14,362.31 × 14,362.31
  4. Step 4: Simplify right side
    6,678.56x = 206,276,020.35
  5. Step 5: Solve for x
    x = 206,276,020.35/6,678.56
  6. Step 6: Final answer
    x = 30,886.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.