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Finding the Third Proportional to 24,548 and 50,548

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Solution

The third proportional to 24,548 and 50,548 is: 104,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,548 : 50,548 = 50,548 : x
  2. Step 2: Convert to fraction form
    24,548/50,548 = 50,548/x
  3. Step 3: Cross multiply
    24,548x = 50,548 × 50,548
  4. Step 4: Simplify right side
    24,548x = 2,555,100,304
  5. Step 5: Solve for x
    x = 2,555,100,304/24,548
  6. Step 6: Final answer
    x = 104,085.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.