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Finding the Third Proportional to 30,844 and 67,272

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Solution

The third proportional to 30,844 and 67,272 is: 146,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844 : 67,272 = 67,272 : x
  2. Step 2: Convert to fraction form
    30,844/67,272 = 67,272/x
  3. Step 3: Cross multiply
    30,844x = 67,272 × 67,272
  4. Step 4: Simplify right side
    30,844x = 4,525,521,984
  5. Step 5: Solve for x
    x = 4,525,521,984/30,844
  6. Step 6: Final answer
    x = 146,722.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.