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Finding the Third Proportional to 19,904.50 and 28,293

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Solution

The third proportional to 19,904.50 and 28,293 is: 40,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.50 : 28,293 = 28,293 : x
  2. Step 2: Convert to fraction form
    19,904.50/28,293 = 28,293/x
  3. Step 3: Cross multiply
    19,904.50x = 28,293 × 28,293
  4. Step 4: Simplify right side
    19,904.50x = 800,493,849
  5. Step 5: Solve for x
    x = 800,493,849/19,904.50
  6. Step 6: Final answer
    x = 40,216.73

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.