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Finding the Third Proportional to 17,502 and 38,388

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Solution

The third proportional to 17,502 and 38,388 is: 84,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502 : 38,388 = 38,388 : x
  2. Step 2: Convert to fraction form
    17,502/38,388 = 38,388/x
  3. Step 3: Cross multiply
    17,502x = 38,388 × 38,388
  4. Step 4: Simplify right side
    17,502x = 1,473,638,544
  5. Step 5: Solve for x
    x = 1,473,638,544/17,502
  6. Step 6: Final answer
    x = 84,198.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.