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Finding the Third Proportional to 14,716.69 and 21,270.09

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Solution

The third proportional to 14,716.69 and 21,270.09 is: 30,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 21,270.09 = 21,270.09 : x
  2. Step 2: Convert to fraction form
    14,716.69/21,270.09 = 21,270.09/x
  3. Step 3: Cross multiply
    14,716.69x = 21,270.09 × 21,270.09
  4. Step 4: Simplify right side
    14,716.69x = 452,416,888.13
  5. Step 5: Solve for x
    x = 452,416,888.13/14,716.69
  6. Step 6: Final answer
    x = 30,741.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.