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Finding the Third Proportional to 17,654 and 38,806

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Solution

The third proportional to 17,654 and 38,806 is: 85,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654 : 38,806 = 38,806 : x
  2. Step 2: Convert to fraction form
    17,654/38,806 = 38,806/x
  3. Step 3: Cross multiply
    17,654x = 38,806 × 38,806
  4. Step 4: Simplify right side
    17,654x = 1,505,905,636
  5. Step 5: Solve for x
    x = 1,505,905,636/17,654
  6. Step 6: Final answer
    x = 85,301.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.