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Finding the Third Proportional to 14,645.81 and 21,933.28

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Solution

The third proportional to 14,645.81 and 21,933.28 is: 32,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.81 : 21,933.28 = 21,933.28 : x
  2. Step 2: Convert to fraction form
    14,645.81/21,933.28 = 21,933.28/x
  3. Step 3: Cross multiply
    14,645.81x = 21,933.28 × 21,933.28
  4. Step 4: Simplify right side
    14,645.81x = 481,068,826.39
  5. Step 5: Solve for x
    x = 481,068,826.39/14,645.81
  6. Step 6: Final answer
    x = 32,846.85

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