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Finding the Third Proportional to 23,764 and 36,969

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Solution

The third proportional to 23,764 and 36,969 is: 57,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764 : 36,969 = 36,969 : x
  2. Step 2: Convert to fraction form
    23,764/36,969 = 36,969/x
  3. Step 3: Cross multiply
    23,764x = 36,969 × 36,969
  4. Step 4: Simplify right side
    23,764x = 1,366,706,961
  5. Step 5: Solve for x
    x = 1,366,706,961/23,764
  6. Step 6: Final answer
    x = 57,511.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.