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Finding the Third Proportional to 4,729.50 and 10,279.13

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Solution

The third proportional to 4,729.50 and 10,279.13 is: 22,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.50 : 10,279.13 = 10,279.13 : x
  2. Step 2: Convert to fraction form
    4,729.50/10,279.13 = 10,279.13/x
  3. Step 3: Cross multiply
    4,729.50x = 10,279.13 × 10,279.13
  4. Step 4: Simplify right side
    4,729.50x = 105,660,410.77
  5. Step 5: Solve for x
    x = 105,660,410.77/4,729.50
  6. Step 6: Final answer
    x = 22,340.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.