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Finding the Third Proportional to 5,450 and 8,634

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Solution

The third proportional to 5,450 and 8,634 is: 13,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450 : 8,634 = 8,634 : x
  2. Step 2: Convert to fraction form
    5,450/8,634 = 8,634/x
  3. Step 3: Cross multiply
    5,450x = 8,634 × 8,634
  4. Step 4: Simplify right side
    5,450x = 74,545,956
  5. Step 5: Solve for x
    x = 74,545,956/5,450
  6. Step 6: Final answer
    x = 13,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.