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Finding the Third Proportional to 27,412 and 58,716

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Solution

The third proportional to 27,412 and 58,716 is: 125,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412 : 58,716 = 58,716 : x
  2. Step 2: Convert to fraction form
    27,412/58,716 = 58,716/x
  3. Step 3: Cross multiply
    27,412x = 58,716 × 58,716
  4. Step 4: Simplify right side
    27,412x = 3,447,568,656
  5. Step 5: Solve for x
    x = 3,447,568,656/27,412
  6. Step 6: Final answer
    x = 125,768.59

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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.