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Finding the Third Proportional to 23,764 and 36,970

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Solution

The third proportional to 23,764 and 36,970 is: 57,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764 : 36,970 = 36,970 : x
  2. Step 2: Convert to fraction form
    23,764/36,970 = 36,970/x
  3. Step 3: Cross multiply
    23,764x = 36,970 × 36,970
  4. Step 4: Simplify right side
    23,764x = 1,366,780,900
  5. Step 5: Solve for x
    x = 1,366,780,900/23,764
  6. Step 6: Final answer
    x = 57,514.77

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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.