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Finding the Third Proportional to 14,059.83 and 21,027.09

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Solution

The third proportional to 14,059.83 and 21,027.09 is: 31,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.83 : 21,027.09 = 21,027.09 : x
  2. Step 2: Convert to fraction form
    14,059.83/21,027.09 = 21,027.09/x
  3. Step 3: Cross multiply
    14,059.83x = 21,027.09 × 21,027.09
  4. Step 4: Simplify right side
    14,059.83x = 442,138,671.57
  5. Step 5: Solve for x
    x = 442,138,671.57/14,059.83
  6. Step 6: Final answer
    x = 31,446.95

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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.