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Finding the Third Proportional to 16,087.50 and 24,609.94

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Solution

The third proportional to 16,087.50 and 24,609.94 is: 37,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087.50 : 24,609.94 = 24,609.94 : x
  2. Step 2: Convert to fraction form
    16,087.50/24,609.94 = 24,609.94/x
  3. Step 3: Cross multiply
    16,087.50x = 24,609.94 × 24,609.94
  4. Step 4: Simplify right side
    16,087.50x = 605,649,023.75
  5. Step 5: Solve for x
    x = 605,649,023.75/16,087.50
  6. Step 6: Final answer
    x = 37,647.18

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.