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Finding the Third Proportional to 27,912 and 43,418

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Solution

The third proportional to 27,912 and 43,418 is: 67,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 43,418 = 43,418 : x
  2. Step 2: Convert to fraction form
    27,912/43,418 = 43,418/x
  3. Step 3: Cross multiply
    27,912x = 43,418 × 43,418
  4. Step 4: Simplify right side
    27,912x = 1,885,122,724
  5. Step 5: Solve for x
    x = 1,885,122,724/27,912
  6. Step 6: Final answer
    x = 67,538.07

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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.