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Finding the Third Proportional to 11,045 and 23,579

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Solution

The third proportional to 11,045 and 23,579 is: 50,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,045 : 23,579 = 23,579 : x
  2. Step 2: Convert to fraction form
    11,045/23,579 = 23,579/x
  3. Step 3: Cross multiply
    11,045x = 23,579 × 23,579
  4. Step 4: Simplify right side
    11,045x = 555,969,241
  5. Step 5: Solve for x
    x = 555,969,241/11,045
  6. Step 6: Final answer
    x = 50,336.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.