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Finding the Third Proportional to 23,044 and 36,741

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Solution

The third proportional to 23,044 and 36,741 is: 58,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044 : 36,741 = 36,741 : x
  2. Step 2: Convert to fraction form
    23,044/36,741 = 36,741/x
  3. Step 3: Cross multiply
    23,044x = 36,741 × 36,741
  4. Step 4: Simplify right side
    23,044x = 1,349,901,081
  5. Step 5: Solve for x
    x = 1,349,901,081/23,044
  6. Step 6: Final answer
    x = 58,579.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.