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Finding the Third Proportional to 6,586.31 and 13,775.06

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Solution

The third proportional to 6,586.31 and 13,775.06 is: 28,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.31 : 13,775.06 = 13,775.06 : x
  2. Step 2: Convert to fraction form
    6,586.31/13,775.06 = 13,775.06/x
  3. Step 3: Cross multiply
    6,586.31x = 13,775.06 × 13,775.06
  4. Step 4: Simplify right side
    6,586.31x = 189,752,346.88
  5. Step 5: Solve for x
    x = 189,752,346.88/6,586.31
  6. Step 6: Final answer
    x = 28,810.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.