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Finding the Third Proportional to 2,279.71 and 4,923.91

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Solution

The third proportional to 2,279.71 and 4,923.91 is: 10,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.71 : 4,923.91 = 4,923.91 : x
  2. Step 2: Convert to fraction form
    2,279.71/4,923.91 = 4,923.91/x
  3. Step 3: Cross multiply
    2,279.71x = 4,923.91 × 4,923.91
  4. Step 4: Simplify right side
    2,279.71x = 24,244,929.69
  5. Step 5: Solve for x
    x = 24,244,929.69/2,279.71
  6. Step 6: Final answer
    x = 10,635.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.