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Finding the Third Proportional to 33,480 and 49,212

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Solution

The third proportional to 33,480 and 49,212 is: 72,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480 : 49,212 = 49,212 : x
  2. Step 2: Convert to fraction form
    33,480/49,212 = 49,212/x
  3. Step 3: Cross multiply
    33,480x = 49,212 × 49,212
  4. Step 4: Simplify right side
    33,480x = 2,421,820,944
  5. Step 5: Solve for x
    x = 2,421,820,944/33,480
  6. Step 6: Final answer
    x = 72,336.35

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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.