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Finding the Third Proportional to 13,153.75 and 27,950.75

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Solution

The third proportional to 13,153.75 and 27,950.75 is: 59,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.75 : 27,950.75 = 27,950.75 : x
  2. Step 2: Convert to fraction form
    13,153.75/27,950.75 = 27,950.75/x
  3. Step 3: Cross multiply
    13,153.75x = 27,950.75 × 27,950.75
  4. Step 4: Simplify right side
    13,153.75x = 781,244,425.56
  5. Step 5: Solve for x
    x = 781,244,425.56/13,153.75
  6. Step 6: Final answer
    x = 59,393.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.