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Finding the Third Proportional to 7,219.50 and 12,045

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Solution

The third proportional to 7,219.50 and 12,045 is: 20,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.50 : 12,045 = 12,045 : x
  2. Step 2: Convert to fraction form
    7,219.50/12,045 = 12,045/x
  3. Step 3: Cross multiply
    7,219.50x = 12,045 × 12,045
  4. Step 4: Simplify right side
    7,219.50x = 145,082,025
  5. Step 5: Solve for x
    x = 145,082,025/7,219.50
  6. Step 6: Final answer
    x = 20,095.85

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.