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Finding the Third Proportional to 27,416 and 58,990

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Solution

The third proportional to 27,416 and 58,990 is: 126,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416 : 58,990 = 58,990 : x
  2. Step 2: Convert to fraction form
    27,416/58,990 = 58,990/x
  3. Step 3: Cross multiply
    27,416x = 58,990 × 58,990
  4. Step 4: Simplify right side
    27,416x = 3,479,820,100
  5. Step 5: Solve for x
    x = 3,479,820,100/27,416
  6. Step 6: Final answer
    x = 126,926.62

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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.