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Finding the Third Proportional to 20,974 and 32,190

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Solution

The third proportional to 20,974 and 32,190 is: 49,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974 : 32,190 = 32,190 : x
  2. Step 2: Convert to fraction form
    20,974/32,190 = 32,190/x
  3. Step 3: Cross multiply
    20,974x = 32,190 × 32,190
  4. Step 4: Simplify right side
    20,974x = 1,036,196,100
  5. Step 5: Solve for x
    x = 1,036,196,100/20,974
  6. Step 6: Final answer
    x = 49,403.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.