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Finding the Third Proportional to 17,858 and 42,093

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Solution

The third proportional to 17,858 and 42,093 is: 99,217.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858 : 42,093 = 42,093 : x
  2. Step 2: Convert to fraction form
    17,858/42,093 = 42,093/x
  3. Step 3: Cross multiply
    17,858x = 42,093 × 42,093
  4. Step 4: Simplify right side
    17,858x = 1,771,820,649
  5. Step 5: Solve for x
    x = 1,771,820,649/17,858
  6. Step 6: Final answer
    x = 99,217.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.