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Finding the Third Proportional to 30,291 and 62,094

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Solution

The third proportional to 30,291 and 62,094 is: 127,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291 : 62,094 = 62,094 : x
  2. Step 2: Convert to fraction form
    30,291/62,094 = 62,094/x
  3. Step 3: Cross multiply
    30,291x = 62,094 × 62,094
  4. Step 4: Simplify right side
    30,291x = 3,855,664,836
  5. Step 5: Solve for x
    x = 3,855,664,836/30,291
  6. Step 6: Final answer
    x = 127,287.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.