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Finding the Third Proportional to 23,878 and 36,364

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Solution

The third proportional to 23,878 and 36,364 is: 55,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878 : 36,364 = 36,364 : x
  2. Step 2: Convert to fraction form
    23,878/36,364 = 36,364/x
  3. Step 3: Cross multiply
    23,878x = 36,364 × 36,364
  4. Step 4: Simplify right side
    23,878x = 1,322,340,496
  5. Step 5: Solve for x
    x = 1,322,340,496/23,878
  6. Step 6: Final answer
    x = 55,379.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.