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Finding the Third Proportional to 19,219.78 and 29,380.22

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Solution

The third proportional to 19,219.78 and 29,380.22 is: 44,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.78 : 29,380.22 = 29,380.22 : x
  2. Step 2: Convert to fraction form
    19,219.78/29,380.22 = 29,380.22/x
  3. Step 3: Cross multiply
    19,219.78x = 29,380.22 × 29,380.22
  4. Step 4: Simplify right side
    19,219.78x = 863,197,253.80
  5. Step 5: Solve for x
    x = 863,197,253.80/19,219.78
  6. Step 6: Final answer
    x = 44,911.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.