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Finding the Third Proportional to 7,909 and 16,044

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Solution

The third proportional to 7,909 and 16,044 is: 32,546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 16,044 = 16,044 : x
  2. Step 2: Convert to fraction form
    7,909/16,044 = 16,044/x
  3. Step 3: Cross multiply
    7,909x = 16,044 × 16,044
  4. Step 4: Simplify right side
    7,909x = 257,409,936
  5. Step 5: Solve for x
    x = 257,409,936/7,909
  6. Step 6: Final answer
    x = 32,546.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.