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Finding the Third Proportional to 6,586.31 and 14,556.38

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Solution

The third proportional to 6,586.31 and 14,556.38 is: 32,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.31 : 14,556.38 = 14,556.38 : x
  2. Step 2: Convert to fraction form
    6,586.31/14,556.38 = 14,556.38/x
  3. Step 3: Cross multiply
    6,586.31x = 14,556.38 × 14,556.38
  4. Step 4: Simplify right side
    6,586.31x = 211,888,053.14
  5. Step 5: Solve for x
    x = 211,888,053.14/6,586.31
  6. Step 6: Final answer
    x = 32,170.97

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Why These Related Problems?

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