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Finding the Third Proportional to 35,284 and 76,328

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Solution

The third proportional to 35,284 and 76,328 is: 165,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284 : 76,328 = 76,328 : x
  2. Step 2: Convert to fraction form
    35,284/76,328 = 76,328/x
  3. Step 3: Cross multiply
    35,284x = 76,328 × 76,328
  4. Step 4: Simplify right side
    35,284x = 5,825,963,584
  5. Step 5: Solve for x
    x = 5,825,963,584/35,284
  6. Step 6: Final answer
    x = 165,116.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.