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Finding the Third Proportional to 27,454 and 56,205

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Solution

The third proportional to 27,454 and 56,205 is: 115,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454 : 56,205 = 56,205 : x
  2. Step 2: Convert to fraction form
    27,454/56,205 = 56,205/x
  3. Step 3: Cross multiply
    27,454x = 56,205 × 56,205
  4. Step 4: Simplify right side
    27,454x = 3,159,002,025
  5. Step 5: Solve for x
    x = 3,159,002,025/27,454
  6. Step 6: Final answer
    x = 115,065.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.