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Finding the Third Proportional to 38,094 and 82,740

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Solution

The third proportional to 38,094 and 82,740 is: 179,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094 : 82,740 = 82,740 : x
  2. Step 2: Convert to fraction form
    38,094/82,740 = 82,740/x
  3. Step 3: Cross multiply
    38,094x = 82,740 × 82,740
  4. Step 4: Simplify right side
    38,094x = 6,845,907,600
  5. Step 5: Solve for x
    x = 6,845,907,600/38,094
  6. Step 6: Final answer
    x = 179,710.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.