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Finding the Third Proportional to 5,270.50 and 8,225.50

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Solution

The third proportional to 5,270.50 and 8,225.50 is: 12,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.50 : 8,225.50 = 8,225.50 : x
  2. Step 2: Convert to fraction form
    5,270.50/8,225.50 = 8,225.50/x
  3. Step 3: Cross multiply
    5,270.50x = 8,225.50 × 8,225.50
  4. Step 4: Simplify right side
    5,270.50x = 67,658,850.25
  5. Step 5: Solve for x
    x = 67,658,850.25/5,270.50
  6. Step 6: Final answer
    x = 12,837.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.