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Finding the Third Proportional to 14,521.50 and 21,228.75

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Solution

The third proportional to 14,521.50 and 21,228.75 is: 31,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.50 : 21,228.75 = 21,228.75 : x
  2. Step 2: Convert to fraction form
    14,521.50/21,228.75 = 21,228.75/x
  3. Step 3: Cross multiply
    14,521.50x = 21,228.75 × 21,228.75
  4. Step 4: Simplify right side
    14,521.50x = 450,659,826.56
  5. Step 5: Solve for x
    x = 450,659,826.56/14,521.50
  6. Step 6: Final answer
    x = 31,033.97

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