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Finding the Third Proportional to 21,736 and 46,344

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Solution

The third proportional to 21,736 and 46,344 is: 98,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,736 : 46,344 = 46,344 : x
  2. Step 2: Convert to fraction form
    21,736/46,344 = 46,344/x
  3. Step 3: Cross multiply
    21,736x = 46,344 × 46,344
  4. Step 4: Simplify right side
    21,736x = 2,147,766,336
  5. Step 5: Solve for x
    x = 2,147,766,336/21,736
  6. Step 6: Final answer
    x = 98,811.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.