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Finding the Third Proportional to 4,462 and 5,110

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Solution

The third proportional to 4,462 and 5,110 is: 5,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462 : 5,110 = 5,110 : x
  2. Step 2: Convert to fraction form
    4,462/5,110 = 5,110/x
  3. Step 3: Cross multiply
    4,462x = 5,110 × 5,110
  4. Step 4: Simplify right side
    4,462x = 26,112,100
  5. Step 5: Solve for x
    x = 26,112,100/4,462
  6. Step 6: Final answer
    x = 5,852.11

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.