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Finding the Third Proportional to 14,546.81 and 22,243.22

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Solution

The third proportional to 14,546.81 and 22,243.22 is: 34,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.81 : 22,243.22 = 22,243.22 : x
  2. Step 2: Convert to fraction form
    14,546.81/22,243.22 = 22,243.22/x
  3. Step 3: Cross multiply
    14,546.81x = 22,243.22 × 22,243.22
  4. Step 4: Simplify right side
    14,546.81x = 494,760,780.36
  5. Step 5: Solve for x
    x = 494,760,780.36/14,546.81
  6. Step 6: Final answer
    x = 34,011.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.