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Finding the Third Proportional to 17,798 and 41,579

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Solution

The third proportional to 17,798 and 41,579 is: 97,135.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,798 : 41,579 = 41,579 : x
  2. Step 2: Convert to fraction form
    17,798/41,579 = 41,579/x
  3. Step 3: Cross multiply
    17,798x = 41,579 × 41,579
  4. Step 4: Simplify right side
    17,798x = 1,728,813,241
  5. Step 5: Solve for x
    x = 1,728,813,241/17,798
  6. Step 6: Final answer
    x = 97,135.25

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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.