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Finding the Third Proportional to 1,059.33 and 1,611.77

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Solution

The third proportional to 1,059.33 and 1,611.77 is: 2,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.33 : 1,611.77 = 1,611.77 : x
  2. Step 2: Convert to fraction form
    1,059.33/1,611.77 = 1,611.77/x
  3. Step 3: Cross multiply
    1,059.33x = 1,611.77 × 1,611.77
  4. Step 4: Simplify right side
    1,059.33x = 2,597,813.61
  5. Step 5: Solve for x
    x = 2,597,813.61/1,059.33
  6. Step 6: Final answer
    x = 2,452.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.