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Finding the Third Proportional to 809.50 and 1,771.25

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Solution

The third proportional to 809.50 and 1,771.25 is: 3,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.50 : 1,771.25 = 1,771.25 : x
  2. Step 2: Convert to fraction form
    809.50/1,771.25 = 1,771.25/x
  3. Step 3: Cross multiply
    809.50x = 1,771.25 × 1,771.25
  4. Step 4: Simplify right side
    809.50x = 3,137,326.56
  5. Step 5: Solve for x
    x = 3,137,326.56/809.50
  6. Step 6: Final answer
    x = 3,875.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.