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Finding the Third Proportional to 23,741 and 51,946

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Solution

The third proportional to 23,741 and 51,946 is: 113,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,741 : 51,946 = 51,946 : x
  2. Step 2: Convert to fraction form
    23,741/51,946 = 51,946/x
  3. Step 3: Cross multiply
    23,741x = 51,946 × 51,946
  4. Step 4: Simplify right side
    23,741x = 2,698,386,916
  5. Step 5: Solve for x
    x = 2,698,386,916/23,741
  6. Step 6: Final answer
    x = 113,659.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.