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Finding the Third Proportional to 30,436 and 62,743

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Solution

The third proportional to 30,436 and 62,743 is: 129,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436 : 62,743 = 62,743 : x
  2. Step 2: Convert to fraction form
    30,436/62,743 = 62,743/x
  3. Step 3: Cross multiply
    30,436x = 62,743 × 62,743
  4. Step 4: Simplify right side
    30,436x = 3,936,684,049
  5. Step 5: Solve for x
    x = 3,936,684,049/30,436
  6. Step 6: Final answer
    x = 129,343.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.