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Finding the Third Proportional to 20,275 and 32,390

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Solution

The third proportional to 20,275 and 32,390 is: 51,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275 : 32,390 = 32,390 : x
  2. Step 2: Convert to fraction form
    20,275/32,390 = 32,390/x
  3. Step 3: Cross multiply
    20,275x = 32,390 × 32,390
  4. Step 4: Simplify right side
    20,275x = 1,049,112,100
  5. Step 5: Solve for x
    x = 1,049,112,100/20,275
  6. Step 6: Final answer
    x = 51,744.12

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