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Finding the Third Proportional to 23,532 and 50,904

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Solution

The third proportional to 23,532 and 50,904 is: 110,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532 : 50,904 = 50,904 : x
  2. Step 2: Convert to fraction form
    23,532/50,904 = 50,904/x
  3. Step 3: Cross multiply
    23,532x = 50,904 × 50,904
  4. Step 4: Simplify right side
    23,532x = 2,591,217,216
  5. Step 5: Solve for x
    x = 2,591,217,216/23,532
  6. Step 6: Final answer
    x = 110,114.62

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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.