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Finding the Third Proportional to 23,370 and 50,018

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Solution

The third proportional to 23,370 and 50,018 is: 107,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,370 : 50,018 = 50,018 : x
  2. Step 2: Convert to fraction form
    23,370/50,018 = 50,018/x
  3. Step 3: Cross multiply
    23,370x = 50,018 × 50,018
  4. Step 4: Simplify right side
    23,370x = 2,501,800,324
  5. Step 5: Solve for x
    x = 2,501,800,324/23,370
  6. Step 6: Final answer
    x = 107,051.79

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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.