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Finding the Third Proportional to 27,074.25 and 56,315.25

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Solution

The third proportional to 27,074.25 and 56,315.25 is: 117,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,074.25 : 56,315.25 = 56,315.25 : x
  2. Step 2: Convert to fraction form
    27,074.25/56,315.25 = 56,315.25/x
  3. Step 3: Cross multiply
    27,074.25x = 56,315.25 × 56,315.25
  4. Step 4: Simplify right side
    27,074.25x = 3,171,407,382.56
  5. Step 5: Solve for x
    x = 3,171,407,382.56/27,074.25
  6. Step 6: Final answer
    x = 117,137.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.