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Finding the Third Proportional to 13,674.38 and 21,423.38

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Solution

The third proportional to 13,674.38 and 21,423.38 is: 33,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.38 : 21,423.38 = 21,423.38 : x
  2. Step 2: Convert to fraction form
    13,674.38/21,423.38 = 21,423.38/x
  3. Step 3: Cross multiply
    13,674.38x = 21,423.38 × 21,423.38
  4. Step 4: Simplify right side
    13,674.38x = 458,960,996.39
  5. Step 5: Solve for x
    x = 458,960,996.39/13,674.38
  6. Step 6: Final answer
    x = 33,563.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.