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Finding the Third Proportional to 20,056.50 and 31,182

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Solution

The third proportional to 20,056.50 and 31,182 is: 48,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.50 : 31,182 = 31,182 : x
  2. Step 2: Convert to fraction form
    20,056.50/31,182 = 31,182/x
  3. Step 3: Cross multiply
    20,056.50x = 31,182 × 31,182
  4. Step 4: Simplify right side
    20,056.50x = 972,317,124
  5. Step 5: Solve for x
    x = 972,317,124/20,056.50
  6. Step 6: Final answer
    x = 48,478.90

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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.