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Finding the Third Proportional to 19,474.17 and 29,213.16

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Solution

The third proportional to 19,474.17 and 29,213.16 is: 43,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.17 : 29,213.16 = 29,213.16 : x
  2. Step 2: Convert to fraction form
    19,474.17/29,213.16 = 29,213.16/x
  3. Step 3: Cross multiply
    19,474.17x = 29,213.16 × 29,213.16
  4. Step 4: Simplify right side
    19,474.17x = 853,408,498.09
  5. Step 5: Solve for x
    x = 853,408,498.09/19,474.17
  6. Step 6: Final answer
    x = 43,822.58

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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.