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Finding the Third Proportional to 20,595 and 44,967

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Solution

The third proportional to 20,595 and 44,967 is: 98,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595 : 44,967 = 44,967 : x
  2. Step 2: Convert to fraction form
    20,595/44,967 = 44,967/x
  3. Step 3: Cross multiply
    20,595x = 44,967 × 44,967
  4. Step 4: Simplify right side
    20,595x = 2,022,031,089
  5. Step 5: Solve for x
    x = 2,022,031,089/20,595
  6. Step 6: Final answer
    x = 98,180.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.