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Finding the Third Proportional to 27,909 and 39,038

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Solution

The third proportional to 27,909 and 39,038 is: 54,604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909 : 39,038 = 39,038 : x
  2. Step 2: Convert to fraction form
    27,909/39,038 = 39,038/x
  3. Step 3: Cross multiply
    27,909x = 39,038 × 39,038
  4. Step 4: Simplify right side
    27,909x = 1,523,965,444
  5. Step 5: Solve for x
    x = 1,523,965,444/27,909
  6. Step 6: Final answer
    x = 54,604.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.