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Finding the Third Proportional to 23,534 and 50,479

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Solution

The third proportional to 23,534 and 50,479 is: 108,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,534 : 50,479 = 50,479 : x
  2. Step 2: Convert to fraction form
    23,534/50,479 = 50,479/x
  3. Step 3: Cross multiply
    23,534x = 50,479 × 50,479
  4. Step 4: Simplify right side
    23,534x = 2,548,129,441
  5. Step 5: Solve for x
    x = 2,548,129,441/23,534
  6. Step 6: Final answer
    x = 108,274.39

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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.