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Finding the Third Proportional to 33,284 and 71,464

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Solution

The third proportional to 33,284 and 71,464 is: 153,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,284 : 71,464 = 71,464 : x
  2. Step 2: Convert to fraction form
    33,284/71,464 = 71,464/x
  3. Step 3: Cross multiply
    33,284x = 71,464 × 71,464
  4. Step 4: Simplify right side
    33,284x = 5,107,103,296
  5. Step 5: Solve for x
    x = 5,107,103,296/33,284
  6. Step 6: Final answer
    x = 153,440.19

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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.