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Finding the Third Proportional to 5,868.50 and 12,220.50

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Solution

The third proportional to 5,868.50 and 12,220.50 is: 25,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.50 : 12,220.50 = 12,220.50 : x
  2. Step 2: Convert to fraction form
    5,868.50/12,220.50 = 12,220.50/x
  3. Step 3: Cross multiply
    5,868.50x = 12,220.50 × 12,220.50
  4. Step 4: Simplify right side
    5,868.50x = 149,340,620.25
  5. Step 5: Solve for x
    x = 149,340,620.25/5,868.50
  6. Step 6: Final answer
    x = 25,447.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.