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Finding the Third Proportional to 27,441 and 60,228

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Solution

The third proportional to 27,441 and 60,228 is: 132,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 60,228 = 60,228 : x
  2. Step 2: Convert to fraction form
    27,441/60,228 = 60,228/x
  3. Step 3: Cross multiply
    27,441x = 60,228 × 60,228
  4. Step 4: Simplify right side
    27,441x = 3,627,411,984
  5. Step 5: Solve for x
    x = 3,627,411,984/27,441
  6. Step 6: Final answer
    x = 132,189.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.