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Finding the Third Proportional to 20,516.50 and 32,143

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Solution

The third proportional to 20,516.50 and 32,143 is: 50,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,516.50 : 32,143 = 32,143 : x
  2. Step 2: Convert to fraction form
    20,516.50/32,143 = 32,143/x
  3. Step 3: Cross multiply
    20,516.50x = 32,143 × 32,143
  4. Step 4: Simplify right side
    20,516.50x = 1,033,172,449
  5. Step 5: Solve for x
    x = 1,033,172,449/20,516.50
  6. Step 6: Final answer
    x = 50,358.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.