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Finding the Third Proportional to 34,617 and 54,231

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Solution

The third proportional to 34,617 and 54,231 is: 84,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617 : 54,231 = 54,231 : x
  2. Step 2: Convert to fraction form
    34,617/54,231 = 54,231/x
  3. Step 3: Cross multiply
    34,617x = 54,231 × 54,231
  4. Step 4: Simplify right side
    34,617x = 2,941,001,361
  5. Step 5: Solve for x
    x = 2,941,001,361/34,617
  6. Step 6: Final answer
    x = 84,958.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.