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Finding the Third Proportional to 6,310.41 and 13,828.22

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Solution

The third proportional to 6,310.41 and 13,828.22 is: 30,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.41 : 13,828.22 = 13,828.22 : x
  2. Step 2: Convert to fraction form
    6,310.41/13,828.22 = 13,828.22/x
  3. Step 3: Cross multiply
    6,310.41x = 13,828.22 × 13,828.22
  4. Step 4: Simplify right side
    6,310.41x = 191,219,633.80
  5. Step 5: Solve for x
    x = 191,219,633.80/6,310.41
  6. Step 6: Final answer
    x = 30,302.27

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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.