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Finding the Third Proportional to 11,846 and 23,935

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Solution

The third proportional to 11,846 and 23,935 is: 48,360.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846 : 23,935 = 23,935 : x
  2. Step 2: Convert to fraction form
    11,846/23,935 = 23,935/x
  3. Step 3: Cross multiply
    11,846x = 23,935 × 23,935
  4. Step 4: Simplify right side
    11,846x = 572,884,225
  5. Step 5: Solve for x
    x = 572,884,225/11,846
  6. Step 6: Final answer
    x = 48,360.98

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.