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Finding the Third Proportional to 27,976.75 and 60,421.75

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Solution

The third proportional to 27,976.75 and 60,421.75 is: 130,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.75 : 60,421.75 = 60,421.75 : x
  2. Step 2: Convert to fraction form
    27,976.75/60,421.75 = 60,421.75/x
  3. Step 3: Cross multiply
    27,976.75x = 60,421.75 × 60,421.75
  4. Step 4: Simplify right side
    27,976.75x = 3,650,787,873.06
  5. Step 5: Solve for x
    x = 3,650,787,873.06/27,976.75
  6. Step 6: Final answer
    x = 130,493.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.