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Finding the Third Proportional to 35,284 and 50,982

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Solution

The third proportional to 35,284 and 50,982 is: 73,664.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284 : 50,982 = 50,982 : x
  2. Step 2: Convert to fraction form
    35,284/50,982 = 50,982/x
  3. Step 3: Cross multiply
    35,284x = 50,982 × 50,982
  4. Step 4: Simplify right side
    35,284x = 2,599,164,324
  5. Step 5: Solve for x
    x = 2,599,164,324/35,284
  6. Step 6: Final answer
    x = 73,664.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.