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Finding the Third Proportional to 13,593 and 19,142

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Solution

The third proportional to 13,593 and 19,142 is: 26,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,593 : 19,142 = 19,142 : x
  2. Step 2: Convert to fraction form
    13,593/19,142 = 19,142/x
  3. Step 3: Cross multiply
    13,593x = 19,142 × 19,142
  4. Step 4: Simplify right side
    13,593x = 366,416,164
  5. Step 5: Solve for x
    x = 366,416,164/13,593
  6. Step 6: Final answer
    x = 26,956.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.