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Finding the Third Proportional to 20,968 and 31,450

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Solution

The third proportional to 20,968 and 31,450 is: 47,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,968 : 31,450 = 31,450 : x
  2. Step 2: Convert to fraction form
    20,968/31,450 = 31,450/x
  3. Step 3: Cross multiply
    20,968x = 31,450 × 31,450
  4. Step 4: Simplify right side
    20,968x = 989,102,500
  5. Step 5: Solve for x
    x = 989,102,500/20,968
  6. Step 6: Final answer
    x = 47,172.00

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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.