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Finding the Third Proportional to 20,147 and 34,973

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Solution

The third proportional to 20,147 and 34,973 is: 60,709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 34,973 = 34,973 : x
  2. Step 2: Convert to fraction form
    20,147/34,973 = 34,973/x
  3. Step 3: Cross multiply
    20,147x = 34,973 × 34,973
  4. Step 4: Simplify right side
    20,147x = 1,223,110,729
  5. Step 5: Solve for x
    x = 1,223,110,729/20,147
  6. Step 6: Final answer
    x = 60,709.32

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.