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Finding the Third Proportional to 23,928 and 36,729

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Solution

The third proportional to 23,928 and 36,729 is: 56,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928 : 36,729 = 36,729 : x
  2. Step 2: Convert to fraction form
    23,928/36,729 = 36,729/x
  3. Step 3: Cross multiply
    23,928x = 36,729 × 36,729
  4. Step 4: Simplify right side
    23,928x = 1,349,019,441
  5. Step 5: Solve for x
    x = 1,349,019,441/23,928
  6. Step 6: Final answer
    x = 56,378.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.