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Finding the Third Proportional to 30,896 and 62,882

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Solution

The third proportional to 30,896 and 62,882 is: 127,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896 : 62,882 = 62,882 : x
  2. Step 2: Convert to fraction form
    30,896/62,882 = 62,882/x
  3. Step 3: Cross multiply
    30,896x = 62,882 × 62,882
  4. Step 4: Simplify right side
    30,896x = 3,954,145,924
  5. Step 5: Solve for x
    x = 3,954,145,924/30,896
  6. Step 6: Final answer
    x = 127,982.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.