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Finding the Third Proportional to 27,115.88 and 56,282.34

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Solution

The third proportional to 27,115.88 and 56,282.34 is: 116,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115.88 : 56,282.34 = 56,282.34 : x
  2. Step 2: Convert to fraction form
    27,115.88/56,282.34 = 56,282.34/x
  3. Step 3: Cross multiply
    27,115.88x = 56,282.34 × 56,282.34
  4. Step 4: Simplify right side
    27,115.88x = 3,167,702,217.99
  5. Step 5: Solve for x
    x = 3,167,702,217.99/27,115.88
  6. Step 6: Final answer
    x = 116,820.95

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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.