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Finding the Third Proportional to 809.06 and 1,734.94

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Solution

The third proportional to 809.06 and 1,734.94 is: 3,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.06 : 1,734.94 = 1,734.94 : x
  2. Step 2: Convert to fraction form
    809.06/1,734.94 = 1,734.94/x
  3. Step 3: Cross multiply
    809.06x = 1,734.94 × 1,734.94
  4. Step 4: Simplify right side
    809.06x = 3,010,008.13
  5. Step 5: Solve for x
    x = 3,010,008.13/809.06
  6. Step 6: Final answer
    x = 3,720.37

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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.