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Finding the Third Proportional to 23,548 and 50,827

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Solution

The third proportional to 23,548 and 50,827 is: 109,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548 : 50,827 = 50,827 : x
  2. Step 2: Convert to fraction form
    23,548/50,827 = 50,827/x
  3. Step 3: Cross multiply
    23,548x = 50,827 × 50,827
  4. Step 4: Simplify right side
    23,548x = 2,583,383,929
  5. Step 5: Solve for x
    x = 2,583,383,929/23,548
  6. Step 6: Final answer
    x = 109,707.15

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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.