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Finding the Third Proportional to 33,214 and 49,348

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Solution

The third proportional to 33,214 and 49,348 is: 73,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214 : 49,348 = 49,348 : x
  2. Step 2: Convert to fraction form
    33,214/49,348 = 49,348/x
  3. Step 3: Cross multiply
    33,214x = 49,348 × 49,348
  4. Step 4: Simplify right side
    33,214x = 2,435,225,104
  5. Step 5: Solve for x
    x = 2,435,225,104/33,214
  6. Step 6: Final answer
    x = 73,319.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.