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Finding the Third Proportional to 6,181.31 and 8,289.84

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Solution

The third proportional to 6,181.31 and 8,289.84 is: 11,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.31 : 8,289.84 = 8,289.84 : x
  2. Step 2: Convert to fraction form
    6,181.31/8,289.84 = 8,289.84/x
  3. Step 3: Cross multiply
    6,181.31x = 8,289.84 × 8,289.84
  4. Step 4: Simplify right side
    6,181.31x = 68,721,509.40
  5. Step 5: Solve for x
    x = 68,721,509.40/6,181.31
  6. Step 6: Final answer
    x = 11,117.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.