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Finding the Third Proportional to 3,522 and 4,062

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Solution

The third proportional to 3,522 and 4,062 is: 4,684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522 : 4,062 = 4,062 : x
  2. Step 2: Convert to fraction form
    3,522/4,062 = 4,062/x
  3. Step 3: Cross multiply
    3,522x = 4,062 × 4,062
  4. Step 4: Simplify right side
    3,522x = 16,499,844
  5. Step 5: Solve for x
    x = 16,499,844/3,522
  6. Step 6: Final answer
    x = 4,684.79

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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.