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Finding the Third Proportional to 20,389.22 and 30,865.75

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Solution

The third proportional to 20,389.22 and 30,865.75 is: 46,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.22 : 30,865.75 = 30,865.75 : x
  2. Step 2: Convert to fraction form
    20,389.22/30,865.75 = 30,865.75/x
  3. Step 3: Cross multiply
    20,389.22x = 30,865.75 × 30,865.75
  4. Step 4: Simplify right side
    20,389.22x = 952,694,281.92
  5. Step 5: Solve for x
    x = 952,694,281.92/20,389.22
  6. Step 6: Final answer
    x = 46,725.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.