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Finding the Third Proportional to 25,500 and 38,790

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Solution

The third proportional to 25,500 and 38,790 is: 59,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500 : 38,790 = 38,790 : x
  2. Step 2: Convert to fraction form
    25,500/38,790 = 38,790/x
  3. Step 3: Cross multiply
    25,500x = 38,790 × 38,790
  4. Step 4: Simplify right side
    25,500x = 1,504,664,100
  5. Step 5: Solve for x
    x = 1,504,664,100/25,500
  6. Step 6: Final answer
    x = 59,006.44

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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.