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Finding the Third Proportional to 19,278.84 and 29,161.27

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Solution

The third proportional to 19,278.84 and 29,161.27 is: 44,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,278.84 : 29,161.27 = 29,161.27 : x
  2. Step 2: Convert to fraction form
    19,278.84/29,161.27 = 29,161.27/x
  3. Step 3: Cross multiply
    19,278.84x = 29,161.27 × 29,161.27
  4. Step 4: Simplify right side
    19,278.84x = 850,379,412.85
  5. Step 5: Solve for x
    x = 850,379,412.85/19,278.84
  6. Step 6: Final answer
    x = 44,109.46

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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.