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Finding the Third Proportional to 17,665.88 and 24,758.44

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Solution

The third proportional to 17,665.88 and 24,758.44 is: 34,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.88 : 24,758.44 = 24,758.44 : x
  2. Step 2: Convert to fraction form
    17,665.88/24,758.44 = 24,758.44/x
  3. Step 3: Cross multiply
    17,665.88x = 24,758.44 × 24,758.44
  4. Step 4: Simplify right side
    17,665.88x = 612,980,227.44
  5. Step 5: Solve for x
    x = 612,980,227.44/17,665.88
  6. Step 6: Final answer
    x = 34,698.55

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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.