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Finding the Third Proportional to 23,947 and 51,151

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Solution

The third proportional to 23,947 and 51,151 is: 109,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,947 : 51,151 = 51,151 : x
  2. Step 2: Convert to fraction form
    23,947/51,151 = 51,151/x
  3. Step 3: Cross multiply
    23,947x = 51,151 × 51,151
  4. Step 4: Simplify right side
    23,947x = 2,616,424,801
  5. Step 5: Solve for x
    x = 2,616,424,801/23,947
  6. Step 6: Final answer
    x = 109,258.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.