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Finding the Third Proportional to 18,024 and 24,109.50

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Solution

The third proportional to 18,024 and 24,109.50 is: 32,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 24,109.50 = 24,109.50 : x
  2. Step 2: Convert to fraction form
    18,024/24,109.50 = 24,109.50/x
  3. Step 3: Cross multiply
    18,024x = 24,109.50 × 24,109.50
  4. Step 4: Simplify right side
    18,024x = 581,267,990.25
  5. Step 5: Solve for x
    x = 581,267,990.25/18,024
  6. Step 6: Final answer
    x = 32,249.67

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.