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Finding the Third Proportional to 15,418.69 and 33,024.38

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Solution

The third proportional to 15,418.69 and 33,024.38 is: 70,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,418.69 : 33,024.38 = 33,024.38 : x
  2. Step 2: Convert to fraction form
    15,418.69/33,024.38 = 33,024.38/x
  3. Step 3: Cross multiply
    15,418.69x = 33,024.38 × 33,024.38
  4. Step 4: Simplify right side
    15,418.69x = 1,090,609,344.14
  5. Step 5: Solve for x
    x = 1,090,609,344.14/15,418.69
  6. Step 6: Final answer
    x = 70,732.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.