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Finding the Third Proportional to 7,972 and 18,742

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Solution

The third proportional to 7,972 and 18,742 is: 44,062.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 18,742 = 18,742 : x
  2. Step 2: Convert to fraction form
    7,972/18,742 = 18,742/x
  3. Step 3: Cross multiply
    7,972x = 18,742 × 18,742
  4. Step 4: Simplify right side
    7,972x = 351,262,564
  5. Step 5: Solve for x
    x = 351,262,564/7,972
  6. Step 6: Final answer
    x = 44,062.04

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.