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Finding the Third Proportional to 9,232.10 and 13,833.91

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Solution

The third proportional to 9,232.10 and 13,833.91 is: 20,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.10 : 13,833.91 = 13,833.91 : x
  2. Step 2: Convert to fraction form
    9,232.10/13,833.91 = 13,833.91/x
  3. Step 3: Cross multiply
    9,232.10x = 13,833.91 × 13,833.91
  4. Step 4: Simplify right side
    9,232.10x = 191,377,178.29
  5. Step 5: Solve for x
    x = 191,377,178.29/9,232.10
  6. Step 6: Final answer
    x = 20,729.54

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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.