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Finding the Third Proportional to 23,798 and 44,072

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Solution

The third proportional to 23,798 and 44,072 is: 81,617.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798 : 44,072 = 44,072 : x
  2. Step 2: Convert to fraction form
    23,798/44,072 = 44,072/x
  3. Step 3: Cross multiply
    23,798x = 44,072 × 44,072
  4. Step 4: Simplify right side
    23,798x = 1,942,341,184
  5. Step 5: Solve for x
    x = 1,942,341,184/23,798
  6. Step 6: Final answer
    x = 81,617.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.