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Finding the Third Proportional to 23,271 and 50,277

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Solution

The third proportional to 23,271 and 50,277 is: 108,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,271 : 50,277 = 50,277 : x
  2. Step 2: Convert to fraction form
    23,271/50,277 = 50,277/x
  3. Step 3: Cross multiply
    23,271x = 50,277 × 50,277
  4. Step 4: Simplify right side
    23,271x = 2,527,776,729
  5. Step 5: Solve for x
    x = 2,527,776,729/23,271
  6. Step 6: Final answer
    x = 108,623.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.