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Finding the Third Proportional to 965.83 and 2,080.45

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Solution

The third proportional to 965.83 and 2,080.45 is: 4,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.83 : 2,080.45 = 2,080.45 : x
  2. Step 2: Convert to fraction form
    965.83/2,080.45 = 2,080.45/x
  3. Step 3: Cross multiply
    965.83x = 2,080.45 × 2,080.45
  4. Step 4: Simplify right side
    965.83x = 4,328,273.02
  5. Step 5: Solve for x
    x = 4,328,273.02/965.83
  6. Step 6: Final answer
    x = 4,481.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.