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Finding the Third Proportional to 809.63 and 1,747.50

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Solution

The third proportional to 809.63 and 1,747.50 is: 3,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,747.50 = 1,747.50 : x
  2. Step 2: Convert to fraction form
    809.63/1,747.50 = 1,747.50/x
  3. Step 3: Cross multiply
    809.63x = 1,747.50 × 1,747.50
  4. Step 4: Simplify right side
    809.63x = 3,053,756.25
  5. Step 5: Solve for x
    x = 3,053,756.25/809.63
  6. Step 6: Final answer
    x = 3,771.82

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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.