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Finding the Third Proportional to 23,044 and 50,390

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Solution

The third proportional to 23,044 and 50,390 is: 110,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044 : 50,390 = 50,390 : x
  2. Step 2: Convert to fraction form
    23,044/50,390 = 50,390/x
  3. Step 3: Cross multiply
    23,044x = 50,390 × 50,390
  4. Step 4: Simplify right side
    23,044x = 2,539,152,100
  5. Step 5: Solve for x
    x = 2,539,152,100/23,044
  6. Step 6: Final answer
    x = 110,187.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.