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Finding the Third Proportional to 27,271 and 56,285

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Solution

The third proportional to 27,271 and 56,285 is: 116,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271 : 56,285 = 56,285 : x
  2. Step 2: Convert to fraction form
    27,271/56,285 = 56,285/x
  3. Step 3: Cross multiply
    27,271x = 56,285 × 56,285
  4. Step 4: Simplify right side
    27,271x = 3,168,001,225
  5. Step 5: Solve for x
    x = 3,168,001,225/27,271
  6. Step 6: Final answer
    x = 116,167.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.