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Finding the Third Proportional to 7,606.69 and 16,383.94

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Solution

The third proportional to 7,606.69 and 16,383.94 is: 35,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.69 : 16,383.94 = 16,383.94 : x
  2. Step 2: Convert to fraction form
    7,606.69/16,383.94 = 16,383.94/x
  3. Step 3: Cross multiply
    7,606.69x = 16,383.94 × 16,383.94
  4. Step 4: Simplify right side
    7,606.69x = 268,433,408.00
  5. Step 5: Solve for x
    x = 268,433,408.00/7,606.69
  6. Step 6: Final answer
    x = 35,289.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.