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Finding the Third Proportional to 20,278 and 43,360

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Solution

The third proportional to 20,278 and 43,360 is: 92,715.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278 : 43,360 = 43,360 : x
  2. Step 2: Convert to fraction form
    20,278/43,360 = 43,360/x
  3. Step 3: Cross multiply
    20,278x = 43,360 × 43,360
  4. Step 4: Simplify right side
    20,278x = 1,880,089,600
  5. Step 5: Solve for x
    x = 1,880,089,600/20,278
  6. Step 6: Final answer
    x = 92,715.73

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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.