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Finding the Third Proportional to 25,631.75 and 38,801.75

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Solution

The third proportional to 25,631.75 and 38,801.75 is: 58,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,631.75 : 38,801.75 = 38,801.75 : x
  2. Step 2: Convert to fraction form
    25,631.75/38,801.75 = 38,801.75/x
  3. Step 3: Cross multiply
    25,631.75x = 38,801.75 × 38,801.75
  4. Step 4: Simplify right side
    25,631.75x = 1,505,575,803.06
  5. Step 5: Solve for x
    x = 1,505,575,803.06/25,631.75
  6. Step 6: Final answer
    x = 58,738.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.