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Finding the Third Proportional to 43,675 and 93,583

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Solution

The third proportional to 43,675 and 93,583 is: 200,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,675 : 93,583 = 93,583 : x
  2. Step 2: Convert to fraction form
    43,675/93,583 = 93,583/x
  3. Step 3: Cross multiply
    43,675x = 93,583 × 93,583
  4. Step 4: Simplify right side
    43,675x = 8,757,777,889
  5. Step 5: Solve for x
    x = 8,757,777,889/43,675
  6. Step 6: Final answer
    x = 200,521.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.