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Finding the Third Proportional to 14,629.92 and 22,074.05

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Solution

The third proportional to 14,629.92 and 22,074.05 is: 33,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.92 : 22,074.05 = 22,074.05 : x
  2. Step 2: Convert to fraction form
    14,629.92/22,074.05 = 22,074.05/x
  3. Step 3: Cross multiply
    14,629.92x = 22,074.05 × 22,074.05
  4. Step 4: Simplify right side
    14,629.92x = 487,263,545.44
  5. Step 5: Solve for x
    x = 487,263,545.44/14,629.92
  6. Step 6: Final answer
    x = 33,305.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.