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Finding the Third Proportional to 25,902.94 and 38,004.47

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Solution

The third proportional to 25,902.94 and 38,004.47 is: 55,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.94 : 38,004.47 = 38,004.47 : x
  2. Step 2: Convert to fraction form
    25,902.94/38,004.47 = 38,004.47/x
  3. Step 3: Cross multiply
    25,902.94x = 38,004.47 × 38,004.47
  4. Step 4: Simplify right side
    25,902.94x = 1,444,339,644.97
  5. Step 5: Solve for x
    x = 1,444,339,644.97/25,902.94
  6. Step 6: Final answer
    x = 55,759.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.