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Finding the Third Proportional to 27,432 and 59,027

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Solution

The third proportional to 27,432 and 59,027 is: 127,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,432 : 59,027 = 59,027 : x
  2. Step 2: Convert to fraction form
    27,432/59,027 = 59,027/x
  3. Step 3: Cross multiply
    27,432x = 59,027 × 59,027
  4. Step 4: Simplify right side
    27,432x = 3,484,186,729
  5. Step 5: Solve for x
    x = 3,484,186,729/27,432
  6. Step 6: Final answer
    x = 127,011.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.