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Finding the Third Proportional to 785.32 and 1,671.26

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Solution

The third proportional to 785.32 and 1,671.26 is: 3,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.32 : 1,671.26 = 1,671.26 : x
  2. Step 2: Convert to fraction form
    785.32/1,671.26 = 1,671.26/x
  3. Step 3: Cross multiply
    785.32x = 1,671.26 × 1,671.26
  4. Step 4: Simplify right side
    785.32x = 2,793,102.68
  5. Step 5: Solve for x
    x = 2,793,102.68/785.32
  6. Step 6: Final answer
    x = 3,556.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.