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Finding the Third Proportional to 2,279.81 and 4,992.47

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Solution

The third proportional to 2,279.81 and 4,992.47 is: 10,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.81 : 4,992.47 = 4,992.47 : x
  2. Step 2: Convert to fraction form
    2,279.81/4,992.47 = 4,992.47/x
  3. Step 3: Cross multiply
    2,279.81x = 4,992.47 × 4,992.47
  4. Step 4: Simplify right side
    2,279.81x = 24,924,744.22
  5. Step 5: Solve for x
    x = 24,924,744.22/2,279.81
  6. Step 6: Final answer
    x = 10,932.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.