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Finding the Third Proportional to 4,123 and 4,447

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Solution

The third proportional to 4,123 and 4,447 is: 4,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123 : 4,447 = 4,447 : x
  2. Step 2: Convert to fraction form
    4,123/4,447 = 4,447/x
  3. Step 3: Cross multiply
    4,123x = 4,447 × 4,447
  4. Step 4: Simplify right side
    4,123x = 19,775,809
  5. Step 5: Solve for x
    x = 19,775,809/4,123
  6. Step 6: Final answer
    x = 4,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.