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Finding the Third Proportional to 21,849 and 46,554

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Solution

The third proportional to 21,849 and 46,554 is: 99,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849 : 46,554 = 46,554 : x
  2. Step 2: Convert to fraction form
    21,849/46,554 = 46,554/x
  3. Step 3: Cross multiply
    21,849x = 46,554 × 46,554
  4. Step 4: Simplify right side
    21,849x = 2,167,274,916
  5. Step 5: Solve for x
    x = 2,167,274,916/21,849
  6. Step 6: Final answer
    x = 99,193.32

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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.