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Finding the Third Proportional to 8,165.81 and 11,933.81

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Solution

The third proportional to 8,165.81 and 11,933.81 is: 17,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.81 : 11,933.81 = 11,933.81 : x
  2. Step 2: Convert to fraction form
    8,165.81/11,933.81 = 11,933.81/x
  3. Step 3: Cross multiply
    8,165.81x = 11,933.81 × 11,933.81
  4. Step 4: Simplify right side
    8,165.81x = 142,415,880.79
  5. Step 5: Solve for x
    x = 142,415,880.79/8,165.81
  6. Step 6: Final answer
    x = 17,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.