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Finding the Third Proportional to 23,130 and 50,421

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Solution

The third proportional to 23,130 and 50,421 is: 109,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130 : 50,421 = 50,421 : x
  2. Step 2: Convert to fraction form
    23,130/50,421 = 50,421/x
  3. Step 3: Cross multiply
    23,130x = 50,421 × 50,421
  4. Step 4: Simplify right side
    23,130x = 2,542,277,241
  5. Step 5: Solve for x
    x = 2,542,277,241/23,130
  6. Step 6: Final answer
    x = 109,912.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.