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Finding the Third Proportional to 857.67 and 1,809.84

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Solution

The third proportional to 857.67 and 1,809.84 is: 3,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,809.84 = 1,809.84 : x
  2. Step 2: Convert to fraction form
    857.67/1,809.84 = 1,809.84/x
  3. Step 3: Cross multiply
    857.67x = 1,809.84 × 1,809.84
  4. Step 4: Simplify right side
    857.67x = 3,275,534.40
  5. Step 5: Solve for x
    x = 3,275,534.40/857.67
  6. Step 6: Final answer
    x = 3,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.