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Finding the Third Proportional to 15,474 and 33,706

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Solution

The third proportional to 15,474 and 33,706 is: 73,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 33,706 = 33,706 : x
  2. Step 2: Convert to fraction form
    15,474/33,706 = 33,706/x
  3. Step 3: Cross multiply
    15,474x = 33,706 × 33,706
  4. Step 4: Simplify right side
    15,474x = 1,136,094,436
  5. Step 5: Solve for x
    x = 1,136,094,436/15,474
  6. Step 6: Final answer
    x = 73,419.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.