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Finding the Third Proportional to 14,383.78 and 30,766.69

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Solution

The third proportional to 14,383.78 and 30,766.69 is: 65,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.78 : 30,766.69 = 30,766.69 : x
  2. Step 2: Convert to fraction form
    14,383.78/30,766.69 = 30,766.69/x
  3. Step 3: Cross multiply
    14,383.78x = 30,766.69 × 30,766.69
  4. Step 4: Simplify right side
    14,383.78x = 946,589,059.72
  5. Step 5: Solve for x
    x = 946,589,059.72/14,383.78
  6. Step 6: Final answer
    x = 65,809.47

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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.