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Finding the Third Proportional to 34,199 and 54,633

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Solution

The third proportional to 34,199 and 54,633 is: 87,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199 : 54,633 = 54,633 : x
  2. Step 2: Convert to fraction form
    34,199/54,633 = 54,633/x
  3. Step 3: Cross multiply
    34,199x = 54,633 × 54,633
  4. Step 4: Simplify right side
    34,199x = 2,984,764,689
  5. Step 5: Solve for x
    x = 2,984,764,689/34,199
  6. Step 6: Final answer
    x = 87,276.37

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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.