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Finding the Third Proportional to 27,237 and 58,645

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Solution

The third proportional to 27,237 and 58,645 is: 126,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,237 : 58,645 = 58,645 : x
  2. Step 2: Convert to fraction form
    27,237/58,645 = 58,645/x
  3. Step 3: Cross multiply
    27,237x = 58,645 × 58,645
  4. Step 4: Simplify right side
    27,237x = 3,439,236,025
  5. Step 5: Solve for x
    x = 3,439,236,025/27,237
  6. Step 6: Final answer
    x = 126,270.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.