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Finding the Third Proportional to 965.44 and 2,111.63

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Solution

The third proportional to 965.44 and 2,111.63 is: 4,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.44 : 2,111.63 = 2,111.63 : x
  2. Step 2: Convert to fraction form
    965.44/2,111.63 = 2,111.63/x
  3. Step 3: Cross multiply
    965.44x = 2,111.63 × 2,111.63
  4. Step 4: Simplify right side
    965.44x = 4,458,960.14
  5. Step 5: Solve for x
    x = 4,458,960.14/965.44
  6. Step 6: Final answer
    x = 4,618.59

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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.