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Finding the Third Proportional to 5,594.06 and 8,169.19

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Solution

The third proportional to 5,594.06 and 8,169.19 is: 11,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.06 : 8,169.19 = 8,169.19 : x
  2. Step 2: Convert to fraction form
    5,594.06/8,169.19 = 8,169.19/x
  3. Step 3: Cross multiply
    5,594.06x = 8,169.19 × 8,169.19
  4. Step 4: Simplify right side
    5,594.06x = 66,735,624.41
  5. Step 5: Solve for x
    x = 66,735,624.41/5,594.06
  6. Step 6: Final answer
    x = 11,929.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.