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Finding the Third Proportional to 7,766.44 and 16,621.31

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Solution

The third proportional to 7,766.44 and 16,621.31 is: 35,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.44 : 16,621.31 = 16,621.31 : x
  2. Step 2: Convert to fraction form
    7,766.44/16,621.31 = 16,621.31/x
  3. Step 3: Cross multiply
    7,766.44x = 16,621.31 × 16,621.31
  4. Step 4: Simplify right side
    7,766.44x = 276,268,029.22
  5. Step 5: Solve for x
    x = 276,268,029.22/7,766.44
  6. Step 6: Final answer
    x = 35,572.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.