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Finding the Third Proportional to 17,654 and 24,742

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Solution

The third proportional to 17,654 and 24,742 is: 34,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654 : 24,742 = 24,742 : x
  2. Step 2: Convert to fraction form
    17,654/24,742 = 24,742/x
  3. Step 3: Cross multiply
    17,654x = 24,742 × 24,742
  4. Step 4: Simplify right side
    17,654x = 612,166,564
  5. Step 5: Solve for x
    x = 612,166,564/17,654
  6. Step 6: Final answer
    x = 34,675.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.