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Finding the Third Proportional to 6,422.98 and 14,010.12

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Solution

The third proportional to 6,422.98 and 14,010.12 is: 30,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.98 : 14,010.12 = 14,010.12 : x
  2. Step 2: Convert to fraction form
    6,422.98/14,010.12 = 14,010.12/x
  3. Step 3: Cross multiply
    6,422.98x = 14,010.12 × 14,010.12
  4. Step 4: Simplify right side
    6,422.98x = 196,283,383.61
  5. Step 5: Solve for x
    x = 196,283,383.61/6,422.98
  6. Step 6: Final answer
    x = 30,559.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.