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Finding the Third Proportional to 5,256.56 and 12,283.31

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Solution

The third proportional to 5,256.56 and 12,283.31 is: 28,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.56 : 12,283.31 = 12,283.31 : x
  2. Step 2: Convert to fraction form
    5,256.56/12,283.31 = 12,283.31/x
  3. Step 3: Cross multiply
    5,256.56x = 12,283.31 × 12,283.31
  4. Step 4: Simplify right side
    5,256.56x = 150,879,765.97
  5. Step 5: Solve for x
    x = 150,879,765.97/5,256.56
  6. Step 6: Final answer
    x = 28,703.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.