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Finding the Third Proportional to 25,089.75 and 27,960.75

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Solution

The third proportional to 25,089.75 and 27,960.75 is: 31,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,089.75 : 27,960.75 = 27,960.75 : x
  2. Step 2: Convert to fraction form
    25,089.75/27,960.75 = 27,960.75/x
  3. Step 3: Cross multiply
    25,089.75x = 27,960.75 × 27,960.75
  4. Step 4: Simplify right side
    25,089.75x = 781,803,540.56
  5. Step 5: Solve for x
    x = 781,803,540.56/25,089.75
  6. Step 6: Final answer
    x = 31,160.28

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.