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Finding the Third Proportional to 35,898 and 83,841

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Solution

The third proportional to 35,898 and 83,841 is: 195,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898 : 83,841 = 83,841 : x
  2. Step 2: Convert to fraction form
    35,898/83,841 = 83,841/x
  3. Step 3: Cross multiply
    35,898x = 83,841 × 83,841
  4. Step 4: Simplify right side
    35,898x = 7,029,313,281
  5. Step 5: Solve for x
    x = 7,029,313,281/35,898
  6. Step 6: Final answer
    x = 195,813.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.