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Finding the Third Proportional to 17,224 and 38,152

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Solution

The third proportional to 17,224 and 38,152 is: 84,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224 : 38,152 = 38,152 : x
  2. Step 2: Convert to fraction form
    17,224/38,152 = 38,152/x
  3. Step 3: Cross multiply
    17,224x = 38,152 × 38,152
  4. Step 4: Simplify right side
    17,224x = 1,455,575,104
  5. Step 5: Solve for x
    x = 1,455,575,104/17,224
  6. Step 6: Final answer
    x = 84,508.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.