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Finding the Third Proportional to 13,912.50 and 28,795

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Solution

The third proportional to 13,912.50 and 28,795 is: 59,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.50 : 28,795 = 28,795 : x
  2. Step 2: Convert to fraction form
    13,912.50/28,795 = 28,795/x
  3. Step 3: Cross multiply
    13,912.50x = 28,795 × 28,795
  4. Step 4: Simplify right side
    13,912.50x = 829,152,025
  5. Step 5: Solve for x
    x = 829,152,025/13,912.50
  6. Step 6: Final answer
    x = 59,597.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.