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Finding the Third Proportional to 27,400 and 59,873

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Solution

The third proportional to 27,400 and 59,873 is: 130,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400 : 59,873 = 59,873 : x
  2. Step 2: Convert to fraction form
    27,400/59,873 = 59,873/x
  3. Step 3: Cross multiply
    27,400x = 59,873 × 59,873
  4. Step 4: Simplify right side
    27,400x = 3,584,776,129
  5. Step 5: Solve for x
    x = 3,584,776,129/27,400
  6. Step 6: Final answer
    x = 130,831.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.