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Finding the Third Proportional to 21,741 and 46,641

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Solution

The third proportional to 21,741 and 46,641 is: 100,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,741 : 46,641 = 46,641 : x
  2. Step 2: Convert to fraction form
    21,741/46,641 = 46,641/x
  3. Step 3: Cross multiply
    21,741x = 46,641 × 46,641
  4. Step 4: Simplify right side
    21,741x = 2,175,382,881
  5. Step 5: Solve for x
    x = 2,175,382,881/21,741
  6. Step 6: Final answer
    x = 100,059.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.