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Finding the Third Proportional to 34,266 and 54,679

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Solution

The third proportional to 34,266 and 54,679 is: 87,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,266 : 54,679 = 54,679 : x
  2. Step 2: Convert to fraction form
    34,266/54,679 = 54,679/x
  3. Step 3: Cross multiply
    34,266x = 54,679 × 54,679
  4. Step 4: Simplify right side
    34,266x = 2,989,793,041
  5. Step 5: Solve for x
    x = 2,989,793,041/34,266
  6. Step 6: Final answer
    x = 87,252.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.