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Finding the Third Proportional to 793.25 and 1,722.50

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Solution

The third proportional to 793.25 and 1,722.50 is: 3,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.25 : 1,722.50 = 1,722.50 : x
  2. Step 2: Convert to fraction form
    793.25/1,722.50 = 1,722.50/x
  3. Step 3: Cross multiply
    793.25x = 1,722.50 × 1,722.50
  4. Step 4: Simplify right side
    793.25x = 2,967,006.25
  5. Step 5: Solve for x
    x = 2,967,006.25/793.25
  6. Step 6: Final answer
    x = 3,740.32

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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.