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Finding the Third Proportional to 14,515.81 and 21,213.56

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Solution

The third proportional to 14,515.81 and 21,213.56 is: 31,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.81 : 21,213.56 = 21,213.56 : x
  2. Step 2: Convert to fraction form
    14,515.81/21,213.56 = 21,213.56/x
  3. Step 3: Cross multiply
    14,515.81x = 21,213.56 × 21,213.56
  4. Step 4: Simplify right side
    14,515.81x = 450,015,233.94
  5. Step 5: Solve for x
    x = 450,015,233.94/14,515.81
  6. Step 6: Final answer
    x = 31,001.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.