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Finding the Third Proportional to 27,320 and 56,344

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Solution

The third proportional to 27,320 and 56,344 is: 116,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,320 : 56,344 = 56,344 : x
  2. Step 2: Convert to fraction form
    27,320/56,344 = 56,344/x
  3. Step 3: Cross multiply
    27,320x = 56,344 × 56,344
  4. Step 4: Simplify right side
    27,320x = 3,174,646,336
  5. Step 5: Solve for x
    x = 3,174,646,336/27,320
  6. Step 6: Final answer
    x = 116,202.28

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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.