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Finding the Third Proportional to 797.50 and 1,725.25

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Solution

The third proportional to 797.50 and 1,725.25 is: 3,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.50 : 1,725.25 = 1,725.25 : x
  2. Step 2: Convert to fraction form
    797.50/1,725.25 = 1,725.25/x
  3. Step 3: Cross multiply
    797.50x = 1,725.25 × 1,725.25
  4. Step 4: Simplify right side
    797.50x = 2,976,487.56
  5. Step 5: Solve for x
    x = 2,976,487.56/797.50
  6. Step 6: Final answer
    x = 3,732.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.