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Finding the Third Proportional to 33,260 and 48,904

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Solution

The third proportional to 33,260 and 48,904 is: 71,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,260 : 48,904 = 48,904 : x
  2. Step 2: Convert to fraction form
    33,260/48,904 = 48,904/x
  3. Step 3: Cross multiply
    33,260x = 48,904 × 48,904
  4. Step 4: Simplify right side
    33,260x = 2,391,601,216
  5. Step 5: Solve for x
    x = 2,391,601,216/33,260
  6. Step 6: Final answer
    x = 71,906.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.