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Finding the Third Proportional to 23,260 and 33,754

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Solution

The third proportional to 23,260 and 33,754 is: 48,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,260 : 33,754 = 33,754 : x
  2. Step 2: Convert to fraction form
    23,260/33,754 = 33,754/x
  3. Step 3: Cross multiply
    23,260x = 33,754 × 33,754
  4. Step 4: Simplify right side
    23,260x = 1,139,332,516
  5. Step 5: Solve for x
    x = 1,139,332,516/23,260
  6. Step 6: Final answer
    x = 48,982.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.