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Finding the Third Proportional to 27,033.75 and 40,406.34

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Solution

The third proportional to 27,033.75 and 40,406.34 is: 60,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033.75 : 40,406.34 = 40,406.34 : x
  2. Step 2: Convert to fraction form
    27,033.75/40,406.34 = 40,406.34/x
  3. Step 3: Cross multiply
    27,033.75x = 40,406.34 × 40,406.34
  4. Step 4: Simplify right side
    27,033.75x = 1,632,672,615.24
  5. Step 5: Solve for x
    x = 1,632,672,615.24/27,033.75
  6. Step 6: Final answer
    x = 60,393.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.