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Finding the Third Proportional to 20,265.19 and 32,374.69

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Solution

The third proportional to 20,265.19 and 32,374.69 is: 51,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.19 : 32,374.69 = 32,374.69 : x
  2. Step 2: Convert to fraction form
    20,265.19/32,374.69 = 32,374.69/x
  3. Step 3: Cross multiply
    20,265.19x = 32,374.69 × 32,374.69
  4. Step 4: Simplify right side
    20,265.19x = 1,048,120,390.72
  5. Step 5: Solve for x
    x = 1,048,120,390.72/20,265.19
  6. Step 6: Final answer
    x = 51,720.24

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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.