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Finding the Third Proportional to 6,550.88 and 9,826.31

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Solution

The third proportional to 6,550.88 and 9,826.31 is: 14,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.88 : 9,826.31 = 9,826.31 : x
  2. Step 2: Convert to fraction form
    6,550.88/9,826.31 = 9,826.31/x
  3. Step 3: Cross multiply
    6,550.88x = 9,826.31 × 9,826.31
  4. Step 4: Simplify right side
    6,550.88x = 96,556,417.35
  5. Step 5: Solve for x
    x = 96,556,417.35/6,550.88
  6. Step 6: Final answer
    x = 14,739.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.