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Finding the Third Proportional to 10,392 and 22,794

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Solution

The third proportional to 10,392 and 22,794 is: 49,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392 : 22,794 = 22,794 : x
  2. Step 2: Convert to fraction form
    10,392/22,794 = 22,794/x
  3. Step 3: Cross multiply
    10,392x = 22,794 × 22,794
  4. Step 4: Simplify right side
    10,392x = 519,566,436
  5. Step 5: Solve for x
    x = 519,566,436/10,392
  6. Step 6: Final answer
    x = 49,996.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.