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Finding the Third Proportional to 809.72 and 1,730.39

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Solution

The third proportional to 809.72 and 1,730.39 is: 3,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.72 : 1,730.39 = 1,730.39 : x
  2. Step 2: Convert to fraction form
    809.72/1,730.39 = 1,730.39/x
  3. Step 3: Cross multiply
    809.72x = 1,730.39 × 1,730.39
  4. Step 4: Simplify right side
    809.72x = 2,994,251.72
  5. Step 5: Solve for x
    x = 2,994,251.72/809.72
  6. Step 6: Final answer
    x = 3,697.89

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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.