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Finding the Third Proportional to 17,895 and 38,962

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Solution

The third proportional to 17,895 and 38,962 is: 84,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,895 : 38,962 = 38,962 : x
  2. Step 2: Convert to fraction form
    17,895/38,962 = 38,962/x
  3. Step 3: Cross multiply
    17,895x = 38,962 × 38,962
  4. Step 4: Simplify right side
    17,895x = 1,518,037,444
  5. Step 5: Solve for x
    x = 1,518,037,444/17,895
  6. Step 6: Final answer
    x = 84,830.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.