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Finding the Third Proportional to 4,622 and 9,487

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Solution

The third proportional to 4,622 and 9,487 is: 19,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622 : 9,487 = 9,487 : x
  2. Step 2: Convert to fraction form
    4,622/9,487 = 9,487/x
  3. Step 3: Cross multiply
    4,622x = 9,487 × 9,487
  4. Step 4: Simplify right side
    4,622x = 90,003,169
  5. Step 5: Solve for x
    x = 90,003,169/4,622
  6. Step 6: Final answer
    x = 19,472.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.