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Finding the Third Proportional to 21,454.75 and 32,820.75

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Solution

The third proportional to 21,454.75 and 32,820.75 is: 50,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.75 : 32,820.75 = 32,820.75 : x
  2. Step 2: Convert to fraction form
    21,454.75/32,820.75 = 32,820.75/x
  3. Step 3: Cross multiply
    21,454.75x = 32,820.75 × 32,820.75
  4. Step 4: Simplify right side
    21,454.75x = 1,077,201,630.56
  5. Step 5: Solve for x
    x = 1,077,201,630.56/21,454.75
  6. Step 6: Final answer
    x = 50,208.07

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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.