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Finding the Third Proportional to 20,147.50 and 28,322

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Solution

The third proportional to 20,147.50 and 28,322 is: 39,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.50 : 28,322 = 28,322 : x
  2. Step 2: Convert to fraction form
    20,147.50/28,322 = 28,322/x
  3. Step 3: Cross multiply
    20,147.50x = 28,322 × 28,322
  4. Step 4: Simplify right side
    20,147.50x = 802,135,684
  5. Step 5: Solve for x
    x = 802,135,684/20,147.50
  6. Step 6: Final answer
    x = 39,813.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.