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Finding the Third Proportional to 5,006 and 9,742

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Solution

The third proportional to 5,006 and 9,742 is: 18,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 9,742 = 9,742 : x
  2. Step 2: Convert to fraction form
    5,006/9,742 = 9,742/x
  3. Step 3: Cross multiply
    5,006x = 9,742 × 9,742
  4. Step 4: Simplify right side
    5,006x = 94,906,564
  5. Step 5: Solve for x
    x = 94,906,564/5,006
  6. Step 6: Final answer
    x = 18,958.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.