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Finding the Third Proportional to 23,901 and 28,293

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Solution

The third proportional to 23,901 and 28,293 is: 33,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901 : 28,293 = 28,293 : x
  2. Step 2: Convert to fraction form
    23,901/28,293 = 28,293/x
  3. Step 3: Cross multiply
    23,901x = 28,293 × 28,293
  4. Step 4: Simplify right side
    23,901x = 800,493,849
  5. Step 5: Solve for x
    x = 800,493,849/23,901
  6. Step 6: Final answer
    x = 33,492.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.