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Finding the Third Proportional to 1,308 and 2,821.31

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Solution

The third proportional to 1,308 and 2,821.31 is: 6,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308 : 2,821.31 = 2,821.31 : x
  2. Step 2: Convert to fraction form
    1,308/2,821.31 = 2,821.31/x
  3. Step 3: Cross multiply
    1,308x = 2,821.31 × 2,821.31
  4. Step 4: Simplify right side
    1,308x = 7,959,804.22
  5. Step 5: Solve for x
    x = 7,959,804.22/1,308
  6. Step 6: Final answer
    x = 6,085.48

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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.