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Finding the Third Proportional to 23,841 and 43,939.13

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Solution

The third proportional to 23,841 and 43,939.13 is: 80,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841 : 43,939.13 = 43,939.13 : x
  2. Step 2: Convert to fraction form
    23,841/43,939.13 = 43,939.13/x
  3. Step 3: Cross multiply
    23,841x = 43,939.13 × 43,939.13
  4. Step 4: Simplify right side
    23,841x = 1,930,646,705.77
  5. Step 5: Solve for x
    x = 1,930,646,705.77/23,841
  6. Step 6: Final answer
    x = 80,980.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.