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Finding the Third Proportional to 20,684.25 and 30,872.25

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Solution

The third proportional to 20,684.25 and 30,872.25 is: 46,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.25 : 30,872.25 = 30,872.25 : x
  2. Step 2: Convert to fraction form
    20,684.25/30,872.25 = 30,872.25/x
  3. Step 3: Cross multiply
    20,684.25x = 30,872.25 × 30,872.25
  4. Step 4: Simplify right side
    20,684.25x = 953,095,820.06
  5. Step 5: Solve for x
    x = 953,095,820.06/20,684.25
  6. Step 6: Final answer
    x = 46,078.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.