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Finding the Third Proportional to 33,214 and 71,348

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Solution

The third proportional to 33,214 and 71,348 is: 153,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,214 : 71,348 = 71,348 : x
  2. Step 2: Convert to fraction form
    33,214/71,348 = 71,348/x
  3. Step 3: Cross multiply
    33,214x = 71,348 × 71,348
  4. Step 4: Simplify right side
    33,214x = 5,090,537,104
  5. Step 5: Solve for x
    x = 5,090,537,104/33,214
  6. Step 6: Final answer
    x = 153,264.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.