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Finding the Third Proportional to 20,853 and 32,305.50

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Solution

The third proportional to 20,853 and 32,305.50 is: 50,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853 : 32,305.50 = 32,305.50 : x
  2. Step 2: Convert to fraction form
    20,853/32,305.50 = 32,305.50/x
  3. Step 3: Cross multiply
    20,853x = 32,305.50 × 32,305.50
  4. Step 4: Simplify right side
    20,853x = 1,043,645,330.25
  5. Step 5: Solve for x
    x = 1,043,645,330.25/20,853
  6. Step 6: Final answer
    x = 50,047.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.