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Finding the Third Proportional to 1,224 and 2,720.50

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Solution

The third proportional to 1,224 and 2,720.50 is: 6,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224 : 2,720.50 = 2,720.50 : x
  2. Step 2: Convert to fraction form
    1,224/2,720.50 = 2,720.50/x
  3. Step 3: Cross multiply
    1,224x = 2,720.50 × 2,720.50
  4. Step 4: Simplify right side
    1,224x = 7,401,120.25
  5. Step 5: Solve for x
    x = 7,401,120.25/1,224
  6. Step 6: Final answer
    x = 6,046.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.