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Finding the Third Proportional to 27,612 and 43,056

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Solution

The third proportional to 27,612 and 43,056 is: 67,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612 : 43,056 = 43,056 : x
  2. Step 2: Convert to fraction form
    27,612/43,056 = 43,056/x
  3. Step 3: Cross multiply
    27,612x = 43,056 × 43,056
  4. Step 4: Simplify right side
    27,612x = 1,853,819,136
  5. Step 5: Solve for x
    x = 1,853,819,136/27,612
  6. Step 6: Final answer
    x = 67,138.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.