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Finding the Third Proportional to 788.72 and 1,627.97

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Solution

The third proportional to 788.72 and 1,627.97 is: 3,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.72 : 1,627.97 = 1,627.97 : x
  2. Step 2: Convert to fraction form
    788.72/1,627.97 = 1,627.97/x
  3. Step 3: Cross multiply
    788.72x = 1,627.97 × 1,627.97
  4. Step 4: Simplify right side
    788.72x = 2,650,282.25
  5. Step 5: Solve for x
    x = 2,650,282.25/788.72
  6. Step 6: Final answer
    x = 3,360.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.