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Finding the Third Proportional to 23,641 and 36,089

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Solution

The third proportional to 23,641 and 36,089 is: 55,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641 : 36,089 = 36,089 : x
  2. Step 2: Convert to fraction form
    23,641/36,089 = 36,089/x
  3. Step 3: Cross multiply
    23,641x = 36,089 × 36,089
  4. Step 4: Simplify right side
    23,641x = 1,302,415,921
  5. Step 5: Solve for x
    x = 1,302,415,921/23,641
  6. Step 6: Final answer
    x = 55,091.41

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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.