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Finding the Third Proportional to 20,597.63 and 30,815.44

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Solution

The third proportional to 20,597.63 and 30,815.44 is: 46,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.63 : 30,815.44 = 30,815.44 : x
  2. Step 2: Convert to fraction form
    20,597.63/30,815.44 = 30,815.44/x
  3. Step 3: Cross multiply
    20,597.63x = 30,815.44 × 30,815.44
  4. Step 4: Simplify right side
    20,597.63x = 949,591,188.32
  5. Step 5: Solve for x
    x = 949,591,188.32/20,597.63
  6. Step 6: Final answer
    x = 46,101.97

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Why These Related Problems?

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