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Finding the Third Proportional to 4,224 and 4,815

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Solution

The third proportional to 4,224 and 4,815 is: 5,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224 : 4,815 = 4,815 : x
  2. Step 2: Convert to fraction form
    4,224/4,815 = 4,815/x
  3. Step 3: Cross multiply
    4,224x = 4,815 × 4,815
  4. Step 4: Simplify right side
    4,224x = 23,184,225
  5. Step 5: Solve for x
    x = 23,184,225/4,224
  6. Step 6: Final answer
    x = 5,488.69

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.