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Finding the Third Proportional to 23,932 and 37,264

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Solution

The third proportional to 23,932 and 37,264 is: 58,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932 : 37,264 = 37,264 : x
  2. Step 2: Convert to fraction form
    23,932/37,264 = 37,264/x
  3. Step 3: Cross multiply
    23,932x = 37,264 × 37,264
  4. Step 4: Simplify right side
    23,932x = 1,388,605,696
  5. Step 5: Solve for x
    x = 1,388,605,696/23,932
  6. Step 6: Final answer
    x = 58,022.97

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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.