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Finding the Third Proportional to 18,607.50 and 25,830

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Solution

The third proportional to 18,607.50 and 25,830 is: 35,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,607.50 : 25,830 = 25,830 : x
  2. Step 2: Convert to fraction form
    18,607.50/25,830 = 25,830/x
  3. Step 3: Cross multiply
    18,607.50x = 25,830 × 25,830
  4. Step 4: Simplify right side
    18,607.50x = 667,188,900
  5. Step 5: Solve for x
    x = 667,188,900/18,607.50
  6. Step 6: Final answer
    x = 35,855.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.