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Finding the Third Proportional to 20,268 and 32,373

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Solution

The third proportional to 20,268 and 32,373 is: 51,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 32,373 = 32,373 : x
  2. Step 2: Convert to fraction form
    20,268/32,373 = 32,373/x
  3. Step 3: Cross multiply
    20,268x = 32,373 × 32,373
  4. Step 4: Simplify right side
    20,268x = 1,048,011,129
  5. Step 5: Solve for x
    x = 1,048,011,129/20,268
  6. Step 6: Final answer
    x = 51,707.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.