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Finding the Third Proportional to 14,673 and 22,079.25

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Solution

The third proportional to 14,673 and 22,079.25 is: 33,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673 : 22,079.25 = 22,079.25 : x
  2. Step 2: Convert to fraction form
    14,673/22,079.25 = 22,079.25/x
  3. Step 3: Cross multiply
    14,673x = 22,079.25 × 22,079.25
  4. Step 4: Simplify right side
    14,673x = 487,493,280.56
  5. Step 5: Solve for x
    x = 487,493,280.56/14,673
  6. Step 6: Final answer
    x = 33,223.83

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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.