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Finding the Third Proportional to 25,971.75 and 37,140.75

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Solution

The third proportional to 25,971.75 and 37,140.75 is: 53,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.75 : 37,140.75 = 37,140.75 : x
  2. Step 2: Convert to fraction form
    25,971.75/37,140.75 = 37,140.75/x
  3. Step 3: Cross multiply
    25,971.75x = 37,140.75 × 37,140.75
  4. Step 4: Simplify right side
    25,971.75x = 1,379,435,310.56
  5. Step 5: Solve for x
    x = 1,379,435,310.56/25,971.75
  6. Step 6: Final answer
    x = 53,112.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.