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Finding the Third Proportional to 2,766.23 and 4,148.30

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Solution

The third proportional to 2,766.23 and 4,148.30 is: 6,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.23 : 4,148.30 = 4,148.30 : x
  2. Step 2: Convert to fraction form
    2,766.23/4,148.30 = 4,148.30/x
  3. Step 3: Cross multiply
    2,766.23x = 4,148.30 × 4,148.30
  4. Step 4: Simplify right side
    2,766.23x = 17,208,366.96
  5. Step 5: Solve for x
    x = 17,208,366.96/2,766.23
  6. Step 6: Final answer
    x = 6,220.86

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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.