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Finding the Third Proportional to 25,143.75 and 29,112.75

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Solution

The third proportional to 25,143.75 and 29,112.75 is: 33,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.75 : 29,112.75 = 29,112.75 : x
  2. Step 2: Convert to fraction form
    25,143.75/29,112.75 = 29,112.75/x
  3. Step 3: Cross multiply
    25,143.75x = 29,112.75 × 29,112.75
  4. Step 4: Simplify right side
    25,143.75x = 847,552,212.56
  5. Step 5: Solve for x
    x = 847,552,212.56/25,143.75
  6. Step 6: Final answer
    x = 33,708.27

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.