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Finding the Third Proportional to 857.14 and 1,321.31

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Solution

The third proportional to 857.14 and 1,321.31 is: 2,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.14 : 1,321.31 = 1,321.31 : x
  2. Step 2: Convert to fraction form
    857.14/1,321.31 = 1,321.31/x
  3. Step 3: Cross multiply
    857.14x = 1,321.31 × 1,321.31
  4. Step 4: Simplify right side
    857.14x = 1,745,866.72
  5. Step 5: Solve for x
    x = 1,745,866.72/857.14
  6. Step 6: Final answer
    x = 2,036.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.