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Finding the Third Proportional to 23,940 and 49,072.50

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Solution

The third proportional to 23,940 and 49,072.50 is: 100,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,940 : 49,072.50 = 49,072.50 : x
  2. Step 2: Convert to fraction form
    23,940/49,072.50 = 49,072.50/x
  3. Step 3: Cross multiply
    23,940x = 49,072.50 × 49,072.50
  4. Step 4: Simplify right side
    23,940x = 2,408,110,256.25
  5. Step 5: Solve for x
    x = 2,408,110,256.25/23,940
  6. Step 6: Final answer
    x = 100,589.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.