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Finding the Third Proportional to 7,398.50 and 11,174.50

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Solution

The third proportional to 7,398.50 and 11,174.50 is: 16,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398.50 : 11,174.50 = 11,174.50 : x
  2. Step 2: Convert to fraction form
    7,398.50/11,174.50 = 11,174.50/x
  3. Step 3: Cross multiply
    7,398.50x = 11,174.50 × 11,174.50
  4. Step 4: Simplify right side
    7,398.50x = 124,869,450.25
  5. Step 5: Solve for x
    x = 124,869,450.25/7,398.50
  6. Step 6: Final answer
    x = 16,877.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.