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Finding the Third Proportional to 23,796 and 51,480

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Solution

The third proportional to 23,796 and 51,480 is: 111,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 51,480 = 51,480 : x
  2. Step 2: Convert to fraction form
    23,796/51,480 = 51,480/x
  3. Step 3: Cross multiply
    23,796x = 51,480 × 51,480
  4. Step 4: Simplify right side
    23,796x = 2,650,190,400
  5. Step 5: Solve for x
    x = 2,650,190,400/23,796
  6. Step 6: Final answer
    x = 111,371.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.