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Finding the Third Proportional to 9,299 and 20,293

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Solution

The third proportional to 9,299 and 20,293 is: 44,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299 : 20,293 = 20,293 : x
  2. Step 2: Convert to fraction form
    9,299/20,293 = 20,293/x
  3. Step 3: Cross multiply
    9,299x = 20,293 × 20,293
  4. Step 4: Simplify right side
    9,299x = 411,805,849
  5. Step 5: Solve for x
    x = 411,805,849/9,299
  6. Step 6: Final answer
    x = 44,284.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.