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Finding the Third Proportional to 20,594 and 44,446

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Solution

The third proportional to 20,594 and 44,446 is: 95,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594 : 44,446 = 44,446 : x
  2. Step 2: Convert to fraction form
    20,594/44,446 = 44,446/x
  3. Step 3: Cross multiply
    20,594x = 44,446 × 44,446
  4. Step 4: Simplify right side
    20,594x = 1,975,446,916
  5. Step 5: Solve for x
    x = 1,975,446,916/20,594
  6. Step 6: Final answer
    x = 95,923.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.