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Finding the Third Proportional to 772.59 and 1,676.25

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Solution

The third proportional to 772.59 and 1,676.25 is: 3,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.59 : 1,676.25 = 1,676.25 : x
  2. Step 2: Convert to fraction form
    772.59/1,676.25 = 1,676.25/x
  3. Step 3: Cross multiply
    772.59x = 1,676.25 × 1,676.25
  4. Step 4: Simplify right side
    772.59x = 2,809,814.06
  5. Step 5: Solve for x
    x = 2,809,814.06/772.59
  6. Step 6: Final answer
    x = 3,636.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.