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Finding the Third Proportional to 1,962.75 and 2,750.88

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Solution

The third proportional to 1,962.75 and 2,750.88 is: 3,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.75 : 2,750.88 = 2,750.88 : x
  2. Step 2: Convert to fraction form
    1,962.75/2,750.88 = 2,750.88/x
  3. Step 3: Cross multiply
    1,962.75x = 2,750.88 × 2,750.88
  4. Step 4: Simplify right side
    1,962.75x = 7,567,313.27
  5. Step 5: Solve for x
    x = 7,567,313.27/1,962.75
  6. Step 6: Final answer
    x = 3,855.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.