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Finding the Third Proportional to 19,740 and 28,573

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Solution

The third proportional to 19,740 and 28,573 is: 41,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,740 : 28,573 = 28,573 : x
  2. Step 2: Convert to fraction form
    19,740/28,573 = 28,573/x
  3. Step 3: Cross multiply
    19,740x = 28,573 × 28,573
  4. Step 4: Simplify right side
    19,740x = 816,416,329
  5. Step 5: Solve for x
    x = 816,416,329/19,740
  6. Step 6: Final answer
    x = 41,358.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.