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Finding the Third Proportional to 5,979.38 and 16,266.38

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Solution

The third proportional to 5,979.38 and 16,266.38 is: 44,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.38 : 16,266.38 = 16,266.38 : x
  2. Step 2: Convert to fraction form
    5,979.38/16,266.38 = 16,266.38/x
  3. Step 3: Cross multiply
    5,979.38x = 16,266.38 × 16,266.38
  4. Step 4: Simplify right side
    5,979.38x = 264,594,955.64
  5. Step 5: Solve for x
    x = 264,594,955.64/5,979.38
  6. Step 6: Final answer
    x = 44,251.27

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.