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Finding the Third Proportional to 23,415 and 50,109

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Solution

The third proportional to 23,415 and 50,109 is: 107,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415 : 50,109 = 50,109 : x
  2. Step 2: Convert to fraction form
    23,415/50,109 = 50,109/x
  3. Step 3: Cross multiply
    23,415x = 50,109 × 50,109
  4. Step 4: Simplify right side
    23,415x = 2,510,911,881
  5. Step 5: Solve for x
    x = 2,510,911,881/23,415
  6. Step 6: Final answer
    x = 107,235.19

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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.