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Finding the Third Proportional to 20,899 and 32,004.50

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Solution

The third proportional to 20,899 and 32,004.50 is: 49,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,899 : 32,004.50 = 32,004.50 : x
  2. Step 2: Convert to fraction form
    20,899/32,004.50 = 32,004.50/x
  3. Step 3: Cross multiply
    20,899x = 32,004.50 × 32,004.50
  4. Step 4: Simplify right side
    20,899x = 1,024,288,020.25
  5. Step 5: Solve for x
    x = 1,024,288,020.25/20,899
  6. Step 6: Final answer
    x = 49,011.34

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