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Finding the Third Proportional to 21,242 and 46,771

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Solution

The third proportional to 21,242 and 46,771 is: 102,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242 : 46,771 = 46,771 : x
  2. Step 2: Convert to fraction form
    21,242/46,771 = 46,771/x
  3. Step 3: Cross multiply
    21,242x = 46,771 × 46,771
  4. Step 4: Simplify right side
    21,242x = 2,187,526,441
  5. Step 5: Solve for x
    x = 2,187,526,441/21,242
  6. Step 6: Final answer
    x = 102,981.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.