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Finding the Third Proportional to 20,363.06 and 31,527.56

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Solution

The third proportional to 20,363.06 and 31,527.56 is: 48,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,363.06 : 31,527.56 = 31,527.56 : x
  2. Step 2: Convert to fraction form
    20,363.06/31,527.56 = 31,527.56/x
  3. Step 3: Cross multiply
    20,363.06x = 31,527.56 × 31,527.56
  4. Step 4: Simplify right side
    20,363.06x = 993,987,197.19
  5. Step 5: Solve for x
    x = 993,987,197.19/20,363.06
  6. Step 6: Final answer
    x = 48,813.25

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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.