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Finding the Third Proportional to 6,271.50 and 13,246.50

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Solution

The third proportional to 6,271.50 and 13,246.50 is: 27,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.50 : 13,246.50 = 13,246.50 : x
  2. Step 2: Convert to fraction form
    6,271.50/13,246.50 = 13,246.50/x
  3. Step 3: Cross multiply
    6,271.50x = 13,246.50 × 13,246.50
  4. Step 4: Simplify right side
    6,271.50x = 175,469,762.25
  5. Step 5: Solve for x
    x = 175,469,762.25/6,271.50
  6. Step 6: Final answer
    x = 27,978.91

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.