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Finding the Third Proportional to 1,611.75 and 2,421.75

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Solution

The third proportional to 1,611.75 and 2,421.75 is: 3,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.75 : 2,421.75 = 2,421.75 : x
  2. Step 2: Convert to fraction form
    1,611.75/2,421.75 = 2,421.75/x
  3. Step 3: Cross multiply
    1,611.75x = 2,421.75 × 2,421.75
  4. Step 4: Simplify right side
    1,611.75x = 5,864,873.06
  5. Step 5: Solve for x
    x = 5,864,873.06/1,611.75
  6. Step 6: Final answer
    x = 3,638.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.