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Finding the Third Proportional to 5,395.50 and 8,069.63

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Solution

The third proportional to 5,395.50 and 8,069.63 is: 12,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.50 : 8,069.63 = 8,069.63 : x
  2. Step 2: Convert to fraction form
    5,395.50/8,069.63 = 8,069.63/x
  3. Step 3: Cross multiply
    5,395.50x = 8,069.63 × 8,069.63
  4. Step 4: Simplify right side
    5,395.50x = 65,118,847.64
  5. Step 5: Solve for x
    x = 65,118,847.64/5,395.50
  6. Step 6: Final answer
    x = 12,069.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.