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Finding the Third Proportional to 23,832 and 45,504

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Solution

The third proportional to 23,832 and 45,504 is: 86,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832 : 45,504 = 45,504 : x
  2. Step 2: Convert to fraction form
    23,832/45,504 = 45,504/x
  3. Step 3: Cross multiply
    23,832x = 45,504 × 45,504
  4. Step 4: Simplify right side
    23,832x = 2,070,614,016
  5. Step 5: Solve for x
    x = 2,070,614,016/23,832
  6. Step 6: Final answer
    x = 86,883.77

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.