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Finding the Third Proportional to 23,237 and 36,932

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Solution

The third proportional to 23,237 and 36,932 is: 58,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,237 : 36,932 = 36,932 : x
  2. Step 2: Convert to fraction form
    23,237/36,932 = 36,932/x
  3. Step 3: Cross multiply
    23,237x = 36,932 × 36,932
  4. Step 4: Simplify right side
    23,237x = 1,363,972,624
  5. Step 5: Solve for x
    x = 1,363,972,624/23,237
  6. Step 6: Final answer
    x = 58,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.