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Finding the Third Proportional to 20,175.96 and 25,581.76

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Solution

The third proportional to 20,175.96 and 25,581.76 is: 32,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.96 : 25,581.76 = 25,581.76 : x
  2. Step 2: Convert to fraction form
    20,175.96/25,581.76 = 25,581.76/x
  3. Step 3: Cross multiply
    20,175.96x = 25,581.76 × 25,581.76
  4. Step 4: Simplify right side
    20,175.96x = 654,426,532.63
  5. Step 5: Solve for x
    x = 654,426,532.63/20,175.96
  6. Step 6: Final answer
    x = 32,435.95

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.