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Finding the Third Proportional to 806.50 and 1,745

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Solution

The third proportional to 806.50 and 1,745 is: 3,775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.50 : 1,745 = 1,745 : x
  2. Step 2: Convert to fraction form
    806.50/1,745 = 1,745/x
  3. Step 3: Cross multiply
    806.50x = 1,745 × 1,745
  4. Step 4: Simplify right side
    806.50x = 3,045,025
  5. Step 5: Solve for x
    x = 3,045,025/806.50
  6. Step 6: Final answer
    x = 3,775.60

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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.