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Finding the Third Proportional to 20,397 and 43,245

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Solution

The third proportional to 20,397 and 43,245 is: 91,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,397 : 43,245 = 43,245 : x
  2. Step 2: Convert to fraction form
    20,397/43,245 = 43,245/x
  3. Step 3: Cross multiply
    20,397x = 43,245 × 43,245
  4. Step 4: Simplify right side
    20,397x = 1,870,130,025
  5. Step 5: Solve for x
    x = 1,870,130,025/20,397
  6. Step 6: Final answer
    x = 91,686.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.