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Finding the Third Proportional to 35,543 and 82,283

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Solution

The third proportional to 35,543 and 82,283 is: 190,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,543 : 82,283 = 82,283 : x
  2. Step 2: Convert to fraction form
    35,543/82,283 = 82,283/x
  3. Step 3: Cross multiply
    35,543x = 82,283 × 82,283
  4. Step 4: Simplify right side
    35,543x = 6,770,492,089
  5. Step 5: Solve for x
    x = 6,770,492,089/35,543
  6. Step 6: Final answer
    x = 190,487.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.