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Finding the Third Proportional to 8,674.31 and 9,585.56

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Solution

The third proportional to 8,674.31 and 9,585.56 is: 10,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.31 : 9,585.56 = 9,585.56 : x
  2. Step 2: Convert to fraction form
    8,674.31/9,585.56 = 9,585.56/x
  3. Step 3: Cross multiply
    8,674.31x = 9,585.56 × 9,585.56
  4. Step 4: Simplify right side
    8,674.31x = 91,883,008.44
  5. Step 5: Solve for x
    x = 91,883,008.44/8,674.31
  6. Step 6: Final answer
    x = 10,592.54

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.