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Finding the Third Proportional to 27,760 and 59,956

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Solution

The third proportional to 27,760 and 59,956 is: 129,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760 : 59,956 = 59,956 : x
  2. Step 2: Convert to fraction form
    27,760/59,956 = 59,956/x
  3. Step 3: Cross multiply
    27,760x = 59,956 × 59,956
  4. Step 4: Simplify right side
    27,760x = 3,594,721,936
  5. Step 5: Solve for x
    x = 3,594,721,936/27,760
  6. Step 6: Final answer
    x = 129,492.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.