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Finding the Third Proportional to 893.06 and 1,959.05

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Solution

The third proportional to 893.06 and 1,959.05 is: 4,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.06 : 1,959.05 = 1,959.05 : x
  2. Step 2: Convert to fraction form
    893.06/1,959.05 = 1,959.05/x
  3. Step 3: Cross multiply
    893.06x = 1,959.05 × 1,959.05
  4. Step 4: Simplify right side
    893.06x = 3,837,864.66
  5. Step 5: Solve for x
    x = 3,837,864.66/893.06
  6. Step 6: Final answer
    x = 4,297.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.