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Finding the Third Proportional to 14,229.74 and 21,229.28

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Solution

The third proportional to 14,229.74 and 21,229.28 is: 31,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.74 : 21,229.28 = 21,229.28 : x
  2. Step 2: Convert to fraction form
    14,229.74/21,229.28 = 21,229.28/x
  3. Step 3: Cross multiply
    14,229.74x = 21,229.28 × 21,229.28
  4. Step 4: Simplify right side
    14,229.74x = 450,682,216.54
  5. Step 5: Solve for x
    x = 450,682,216.54/14,229.74
  6. Step 6: Final answer
    x = 31,671.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.