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Finding the Third Proportional to 1,740.66 and 2,611.41

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Solution

The third proportional to 1,740.66 and 2,611.41 is: 3,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.66 : 2,611.41 = 2,611.41 : x
  2. Step 2: Convert to fraction form
    1,740.66/2,611.41 = 2,611.41/x
  3. Step 3: Cross multiply
    1,740.66x = 2,611.41 × 2,611.41
  4. Step 4: Simplify right side
    1,740.66x = 6,819,442.60
  5. Step 5: Solve for x
    x = 6,819,442.60/1,740.66
  6. Step 6: Final answer
    x = 3,917.74

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Why These Related Problems?

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