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Finding the Third Proportional to 23,940 and 35,763

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Solution

The third proportional to 23,940 and 35,763 is: 53,424.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,940 : 35,763 = 35,763 : x
  2. Step 2: Convert to fraction form
    23,940/35,763 = 35,763/x
  3. Step 3: Cross multiply
    23,940x = 35,763 × 35,763
  4. Step 4: Simplify right side
    23,940x = 1,278,992,169
  5. Step 5: Solve for x
    x = 1,278,992,169/23,940
  6. Step 6: Final answer
    x = 53,424.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.