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Finding the Third Proportional to 20,412.95 and 32,077.42

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Solution

The third proportional to 20,412.95 and 32,077.42 is: 50,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.95 : 32,077.42 = 32,077.42 : x
  2. Step 2: Convert to fraction form
    20,412.95/32,077.42 = 32,077.42/x
  3. Step 3: Cross multiply
    20,412.95x = 32,077.42 × 32,077.42
  4. Step 4: Simplify right side
    20,412.95x = 1,028,961,119.45
  5. Step 5: Solve for x
    x = 1,028,961,119.45/20,412.95
  6. Step 6: Final answer
    x = 50,407.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.