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Finding the Third Proportional to 1,309.31 and 2,823.66

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Solution

The third proportional to 1,309.31 and 2,823.66 is: 6,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.31 : 2,823.66 = 2,823.66 : x
  2. Step 2: Convert to fraction form
    1,309.31/2,823.66 = 2,823.66/x
  3. Step 3: Cross multiply
    1,309.31x = 2,823.66 × 2,823.66
  4. Step 4: Simplify right side
    1,309.31x = 7,973,034.62
  5. Step 5: Solve for x
    x = 7,973,034.62/1,309.31
  6. Step 6: Final answer
    x = 6,089.48

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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.