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Finding the Third Proportional to 20,403.46 and 31,527.83

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Solution

The third proportional to 20,403.46 and 31,527.83 is: 48,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,403.46 : 31,527.83 = 31,527.83 : x
  2. Step 2: Convert to fraction form
    20,403.46/31,527.83 = 31,527.83/x
  3. Step 3: Cross multiply
    20,403.46x = 31,527.83 × 31,527.83
  4. Step 4: Simplify right side
    20,403.46x = 994,003,823.12
  5. Step 5: Solve for x
    x = 994,003,823.12/20,403.46
  6. Step 6: Final answer
    x = 48,717.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.