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Finding the Third Proportional to 6,320.21 and 14,043.32

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Solution

The third proportional to 6,320.21 and 14,043.32 is: 31,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.21 : 14,043.32 = 14,043.32 : x
  2. Step 2: Convert to fraction form
    6,320.21/14,043.32 = 14,043.32/x
  3. Step 3: Cross multiply
    6,320.21x = 14,043.32 × 14,043.32
  4. Step 4: Simplify right side
    6,320.21x = 197,214,900.26
  5. Step 5: Solve for x
    x = 197,214,900.26/6,320.21
  6. Step 6: Final answer
    x = 31,203.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.