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Finding the Third Proportional to 6,234.75 and 14,419.69

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Solution

The third proportional to 6,234.75 and 14,419.69 is: 33,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.75 : 14,419.69 = 14,419.69 : x
  2. Step 2: Convert to fraction form
    6,234.75/14,419.69 = 14,419.69/x
  3. Step 3: Cross multiply
    6,234.75x = 14,419.69 × 14,419.69
  4. Step 4: Simplify right side
    6,234.75x = 207,927,387.60
  5. Step 5: Solve for x
    x = 207,927,387.60/6,234.75
  6. Step 6: Final answer
    x = 33,349.76

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.