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Finding the Third Proportional to 18,970 and 40,847

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Solution

The third proportional to 18,970 and 40,847 is: 87,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970 : 40,847 = 40,847 : x
  2. Step 2: Convert to fraction form
    18,970/40,847 = 40,847/x
  3. Step 3: Cross multiply
    18,970x = 40,847 × 40,847
  4. Step 4: Simplify right side
    18,970x = 1,668,477,409
  5. Step 5: Solve for x
    x = 1,668,477,409/18,970
  6. Step 6: Final answer
    x = 87,953.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.