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Finding the Third Proportional to 18,744 and 25,072

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Solution

The third proportional to 18,744 and 25,072 is: 33,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,744 : 25,072 = 25,072 : x
  2. Step 2: Convert to fraction form
    18,744/25,072 = 25,072/x
  3. Step 3: Cross multiply
    18,744x = 25,072 × 25,072
  4. Step 4: Simplify right side
    18,744x = 628,605,184
  5. Step 5: Solve for x
    x = 628,605,184/18,744
  6. Step 6: Final answer
    x = 33,536.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.