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Finding the Third Proportional to 6,331.50 and 10,181.53

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Solution

The third proportional to 6,331.50 and 10,181.53 is: 16,372.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.50 : 10,181.53 = 10,181.53 : x
  2. Step 2: Convert to fraction form
    6,331.50/10,181.53 = 10,181.53/x
  3. Step 3: Cross multiply
    6,331.50x = 10,181.53 × 10,181.53
  4. Step 4: Simplify right side
    6,331.50x = 103,663,578.59
  5. Step 5: Solve for x
    x = 103,663,578.59/6,331.50
  6. Step 6: Final answer
    x = 16,372.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.