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Finding the Third Proportional to 809.45 and 1,733.75

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Solution

The third proportional to 809.45 and 1,733.75 is: 3,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.45 : 1,733.75 = 1,733.75 : x
  2. Step 2: Convert to fraction form
    809.45/1,733.75 = 1,733.75/x
  3. Step 3: Cross multiply
    809.45x = 1,733.75 × 1,733.75
  4. Step 4: Simplify right side
    809.45x = 3,005,882.29
  5. Step 5: Solve for x
    x = 3,005,882.29/809.45
  6. Step 6: Final answer
    x = 3,713.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.