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Finding the Third Proportional to 20,711.50 and 32,145

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Solution

The third proportional to 20,711.50 and 32,145 is: 49,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711.50 : 32,145 = 32,145 : x
  2. Step 2: Convert to fraction form
    20,711.50/32,145 = 32,145/x
  3. Step 3: Cross multiply
    20,711.50x = 32,145 × 32,145
  4. Step 4: Simplify right side
    20,711.50x = 1,033,301,025
  5. Step 5: Solve for x
    x = 1,033,301,025/20,711.50
  6. Step 6: Final answer
    x = 49,890.21

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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.