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Finding the Third Proportional to 15,405 and 33,683

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Solution

The third proportional to 15,405 and 33,683 is: 73,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 33,683 = 33,683 : x
  2. Step 2: Convert to fraction form
    15,405/33,683 = 33,683/x
  3. Step 3: Cross multiply
    15,405x = 33,683 × 33,683
  4. Step 4: Simplify right side
    15,405x = 1,134,544,489
  5. Step 5: Solve for x
    x = 1,134,544,489/15,405
  6. Step 6: Final answer
    x = 73,647.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.