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Finding the Third Proportional to 23,501 and 50,417

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Solution

The third proportional to 23,501 and 50,417 is: 108,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501 : 50,417 = 50,417 : x
  2. Step 2: Convert to fraction form
    23,501/50,417 = 50,417/x
  3. Step 3: Cross multiply
    23,501x = 50,417 × 50,417
  4. Step 4: Simplify right side
    23,501x = 2,541,873,889
  5. Step 5: Solve for x
    x = 2,541,873,889/23,501
  6. Step 6: Final answer
    x = 108,160.24

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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.