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Finding the Third Proportional to 27,732 and 56,760

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Solution

The third proportional to 27,732 and 56,760 is: 116,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732 : 56,760 = 56,760 : x
  2. Step 2: Convert to fraction form
    27,732/56,760 = 56,760/x
  3. Step 3: Cross multiply
    27,732x = 56,760 × 56,760
  4. Step 4: Simplify right side
    27,732x = 3,221,697,600
  5. Step 5: Solve for x
    x = 3,221,697,600/27,732
  6. Step 6: Final answer
    x = 116,172.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.