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Finding the Third Proportional to 20,697 and 44,995

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Solution

The third proportional to 20,697 and 44,995 is: 97,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697 : 44,995 = 44,995 : x
  2. Step 2: Convert to fraction form
    20,697/44,995 = 44,995/x
  3. Step 3: Cross multiply
    20,697x = 44,995 × 44,995
  4. Step 4: Simplify right side
    20,697x = 2,024,550,025
  5. Step 5: Solve for x
    x = 2,024,550,025/20,697
  6. Step 6: Final answer
    x = 97,818.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.