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Finding the Third Proportional to 9,232.31 and 13,845.09

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Solution

The third proportional to 9,232.31 and 13,845.09 is: 20,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.31 : 13,845.09 = 13,845.09 : x
  2. Step 2: Convert to fraction form
    9,232.31/13,845.09 = 13,845.09/x
  3. Step 3: Cross multiply
    9,232.31x = 13,845.09 × 13,845.09
  4. Step 4: Simplify right side
    9,232.31x = 191,686,620.95
  5. Step 5: Solve for x
    x = 191,686,620.95/9,232.31
  6. Step 6: Final answer
    x = 20,762.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.