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Finding the Third Proportional to 17,672 and 38,580

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Solution

The third proportional to 17,672 and 38,580 is: 84,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672 : 38,580 = 38,580 : x
  2. Step 2: Convert to fraction form
    17,672/38,580 = 38,580/x
  3. Step 3: Cross multiply
    17,672x = 38,580 × 38,580
  4. Step 4: Simplify right side
    17,672x = 1,488,416,400
  5. Step 5: Solve for x
    x = 1,488,416,400/17,672
  6. Step 6: Final answer
    x = 84,224.56

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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.