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Finding the Third Proportional to 27,341 and 58,473.25

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Solution

The third proportional to 27,341 and 58,473.25 is: 125,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341 : 58,473.25 = 58,473.25 : x
  2. Step 2: Convert to fraction form
    27,341/58,473.25 = 58,473.25/x
  3. Step 3: Cross multiply
    27,341x = 58,473.25 × 58,473.25
  4. Step 4: Simplify right side
    27,341x = 3,419,120,965.56
  5. Step 5: Solve for x
    x = 3,419,120,965.56/27,341
  6. Step 6: Final answer
    x = 125,054.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.