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Finding the Third Proportional to 7,255.83 and 12,305.67

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Solution

The third proportional to 7,255.83 and 12,305.67 is: 20,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.83 : 12,305.67 = 12,305.67 : x
  2. Step 2: Convert to fraction form
    7,255.83/12,305.67 = 12,305.67/x
  3. Step 3: Cross multiply
    7,255.83x = 12,305.67 × 12,305.67
  4. Step 4: Simplify right side
    7,255.83x = 151,429,560.30
  5. Step 5: Solve for x
    x = 151,429,560.30/7,255.83
  6. Step 6: Final answer
    x = 20,870.06

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.