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Finding the Third Proportional to 899.44 and 1,965.38

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Solution

The third proportional to 899.44 and 1,965.38 is: 4,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.44 : 1,965.38 = 1,965.38 : x
  2. Step 2: Convert to fraction form
    899.44/1,965.38 = 1,965.38/x
  3. Step 3: Cross multiply
    899.44x = 1,965.38 × 1,965.38
  4. Step 4: Simplify right side
    899.44x = 3,862,698.89
  5. Step 5: Solve for x
    x = 3,862,698.89/899.44
  6. Step 6: Final answer
    x = 4,294.57

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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.