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Finding the Third Proportional to 1,853.44 and 2,962.69

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Solution

The third proportional to 1,853.44 and 2,962.69 is: 4,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.44 : 2,962.69 = 2,962.69 : x
  2. Step 2: Convert to fraction form
    1,853.44/2,962.69 = 2,962.69/x
  3. Step 3: Cross multiply
    1,853.44x = 2,962.69 × 2,962.69
  4. Step 4: Simplify right side
    1,853.44x = 8,777,517.22
  5. Step 5: Solve for x
    x = 8,777,517.22/1,853.44
  6. Step 6: Final answer
    x = 4,735.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.