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Finding the Third Proportional to 27,724 and 57,080

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Solution

The third proportional to 27,724 and 57,080 is: 117,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 57,080 = 57,080 : x
  2. Step 2: Convert to fraction form
    27,724/57,080 = 57,080/x
  3. Step 3: Cross multiply
    27,724x = 57,080 × 57,080
  4. Step 4: Simplify right side
    27,724x = 3,258,126,400
  5. Step 5: Solve for x
    x = 3,258,126,400/27,724
  6. Step 6: Final answer
    x = 117,520.07

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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.