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Finding the Third Proportional to 13,440.50 and 28,727

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Solution

The third proportional to 13,440.50 and 28,727 is: 61,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440.50 : 28,727 = 28,727 : x
  2. Step 2: Convert to fraction form
    13,440.50/28,727 = 28,727/x
  3. Step 3: Cross multiply
    13,440.50x = 28,727 × 28,727
  4. Step 4: Simplify right side
    13,440.50x = 825,240,529
  5. Step 5: Solve for x
    x = 825,240,529/13,440.50
  6. Step 6: Final answer
    x = 61,399.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.