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Finding the Third Proportional to 19,247 and 40,006

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Solution

The third proportional to 19,247 and 40,006 is: 83,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,247 : 40,006 = 40,006 : x
  2. Step 2: Convert to fraction form
    19,247/40,006 = 40,006/x
  3. Step 3: Cross multiply
    19,247x = 40,006 × 40,006
  4. Step 4: Simplify right side
    19,247x = 1,600,480,036
  5. Step 5: Solve for x
    x = 1,600,480,036/19,247
  6. Step 6: Final answer
    x = 83,154.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.