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Finding the Third Proportional to 41,798 and 58,583

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Solution

The third proportional to 41,798 and 58,583 is: 82,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,798 : 58,583 = 58,583 : x
  2. Step 2: Convert to fraction form
    41,798/58,583 = 58,583/x
  3. Step 3: Cross multiply
    41,798x = 58,583 × 58,583
  4. Step 4: Simplify right side
    41,798x = 3,431,967,889
  5. Step 5: Solve for x
    x = 3,431,967,889/41,798
  6. Step 6: Final answer
    x = 82,108.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.