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Finding the Third Proportional to 19,493.16 and 29,650.22

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Solution

The third proportional to 19,493.16 and 29,650.22 is: 45,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,493.16 : 29,650.22 = 29,650.22 : x
  2. Step 2: Convert to fraction form
    19,493.16/29,650.22 = 29,650.22/x
  3. Step 3: Cross multiply
    19,493.16x = 29,650.22 × 29,650.22
  4. Step 4: Simplify right side
    19,493.16x = 879,135,471.92
  5. Step 5: Solve for x
    x = 879,135,471.92/19,493.16
  6. Step 6: Final answer
    x = 45,099.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.