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Finding the Third Proportional to 24,378 and 32,601

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Solution

The third proportional to 24,378 and 32,601 is: 43,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,378 : 32,601 = 32,601 : x
  2. Step 2: Convert to fraction form
    24,378/32,601 = 32,601/x
  3. Step 3: Cross multiply
    24,378x = 32,601 × 32,601
  4. Step 4: Simplify right side
    24,378x = 1,062,825,201
  5. Step 5: Solve for x
    x = 1,062,825,201/24,378
  6. Step 6: Final answer
    x = 43,597.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.