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Finding the Third Proportional to 27,964 and 60,848

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Solution

The third proportional to 27,964 and 60,848 is: 132,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964 : 60,848 = 60,848 : x
  2. Step 2: Convert to fraction form
    27,964/60,848 = 60,848/x
  3. Step 3: Cross multiply
    27,964x = 60,848 × 60,848
  4. Step 4: Simplify right side
    27,964x = 3,702,479,104
  5. Step 5: Solve for x
    x = 3,702,479,104/27,964
  6. Step 6: Final answer
    x = 132,401.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.