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Finding the Third Proportional to 19,938 and 47,000

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Solution

The third proportional to 19,938 and 47,000 is: 110,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,938 : 47,000 = 47,000 : x
  2. Step 2: Convert to fraction form
    19,938/47,000 = 47,000/x
  3. Step 3: Cross multiply
    19,938x = 47,000 × 47,000
  4. Step 4: Simplify right side
    19,938x = 2,209,000,000
  5. Step 5: Solve for x
    x = 2,209,000,000/19,938
  6. Step 6: Final answer
    x = 110,793.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.