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Finding the Third Proportional to 1,624.22 and 3,420.14

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Solution

The third proportional to 1,624.22 and 3,420.14 is: 7,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.22 : 3,420.14 = 3,420.14 : x
  2. Step 2: Convert to fraction form
    1,624.22/3,420.14 = 3,420.14/x
  3. Step 3: Cross multiply
    1,624.22x = 3,420.14 × 3,420.14
  4. Step 4: Simplify right side
    1,624.22x = 11,697,361.89
  5. Step 5: Solve for x
    x = 11,697,361.89/1,624.22
  6. Step 6: Final answer
    x = 7,201.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.