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Finding the Third Proportional to 27,247 and 57,410

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Solution

The third proportional to 27,247 and 57,410 is: 120,964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,247 : 57,410 = 57,410 : x
  2. Step 2: Convert to fraction form
    27,247/57,410 = 57,410/x
  3. Step 3: Cross multiply
    27,247x = 57,410 × 57,410
  4. Step 4: Simplify right side
    27,247x = 3,295,908,100
  5. Step 5: Solve for x
    x = 3,295,908,100/27,247
  6. Step 6: Final answer
    x = 120,964.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.