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Finding the Third Proportional to 1,954.44 and 4,215.64

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Solution

The third proportional to 1,954.44 and 4,215.64 is: 9,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.44 : 4,215.64 = 4,215.64 : x
  2. Step 2: Convert to fraction form
    1,954.44/4,215.64 = 4,215.64/x
  3. Step 3: Cross multiply
    1,954.44x = 4,215.64 × 4,215.64
  4. Step 4: Simplify right side
    1,954.44x = 17,771,609.41
  5. Step 5: Solve for x
    x = 17,771,609.41/1,954.44
  6. Step 6: Final answer
    x = 9,092.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.