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Finding the Third Proportional to 23,384 and 54,704

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Solution

The third proportional to 23,384 and 54,704 is: 127,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384 : 54,704 = 54,704 : x
  2. Step 2: Convert to fraction form
    23,384/54,704 = 54,704/x
  3. Step 3: Cross multiply
    23,384x = 54,704 × 54,704
  4. Step 4: Simplify right side
    23,384x = 2,992,527,616
  5. Step 5: Solve for x
    x = 2,992,527,616/23,384
  6. Step 6: Final answer
    x = 127,973.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.