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Finding the Third Proportional to 20,427.19 and 32,098.78

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Solution

The third proportional to 20,427.19 and 32,098.78 is: 50,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.19 : 32,098.78 = 32,098.78 : x
  2. Step 2: Convert to fraction form
    20,427.19/32,098.78 = 32,098.78/x
  3. Step 3: Cross multiply
    20,427.19x = 32,098.78 × 32,098.78
  4. Step 4: Simplify right side
    20,427.19x = 1,030,331,757.74
  5. Step 5: Solve for x
    x = 1,030,331,757.74/20,427.19
  6. Step 6: Final answer
    x = 50,439.24

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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.