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Finding the Third Proportional to 21,174 and 44,697

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Solution

The third proportional to 21,174 and 44,697 is: 94,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174 : 44,697 = 44,697 : x
  2. Step 2: Convert to fraction form
    21,174/44,697 = 44,697/x
  3. Step 3: Cross multiply
    21,174x = 44,697 × 44,697
  4. Step 4: Simplify right side
    21,174x = 1,997,821,809
  5. Step 5: Solve for x
    x = 1,997,821,809/21,174
  6. Step 6: Final answer
    x = 94,352.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.