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Finding the Third Proportional to 415.55 and 1,093.92

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Solution

The third proportional to 415.55 and 1,093.92 is: 2,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.55 : 1,093.92 = 1,093.92 : x
  2. Step 2: Convert to fraction form
    415.55/1,093.92 = 1,093.92/x
  3. Step 3: Cross multiply
    415.55x = 1,093.92 × 1,093.92
  4. Step 4: Simplify right side
    415.55x = 1,196,665.07
  5. Step 5: Solve for x
    x = 1,196,665.07/415.55
  6. Step 6: Final answer
    x = 2,879.74

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.