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Finding the Third Proportional to 5,844.50 and 12,630.50

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Solution

The third proportional to 5,844.50 and 12,630.50 is: 27,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.50 : 12,630.50 = 12,630.50 : x
  2. Step 2: Convert to fraction form
    5,844.50/12,630.50 = 12,630.50/x
  3. Step 3: Cross multiply
    5,844.50x = 12,630.50 × 12,630.50
  4. Step 4: Simplify right side
    5,844.50x = 159,529,530.25
  5. Step 5: Solve for x
    x = 159,529,530.25/5,844.50
  6. Step 6: Final answer
    x = 27,295.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.