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Finding the Third Proportional to 25,882 and 38,783

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Solution

The third proportional to 25,882 and 38,783 is: 58,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882 : 38,783 = 38,783 : x
  2. Step 2: Convert to fraction form
    25,882/38,783 = 38,783/x
  3. Step 3: Cross multiply
    25,882x = 38,783 × 38,783
  4. Step 4: Simplify right side
    25,882x = 1,504,121,089
  5. Step 5: Solve for x
    x = 1,504,121,089/25,882
  6. Step 6: Final answer
    x = 58,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.