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Finding the Third Proportional to 30,204 and 62,532

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Solution

The third proportional to 30,204 and 62,532 is: 129,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 62,532 = 62,532 : x
  2. Step 2: Convert to fraction form
    30,204/62,532 = 62,532/x
  3. Step 3: Cross multiply
    30,204x = 62,532 × 62,532
  4. Step 4: Simplify right side
    30,204x = 3,910,251,024
  5. Step 5: Solve for x
    x = 3,910,251,024/30,204
  6. Step 6: Final answer
    x = 129,461.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.