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Finding the Third Proportional to 10,384 and 22,916

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Solution

The third proportional to 10,384 and 22,916 is: 50,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384 : 22,916 = 22,916 : x
  2. Step 2: Convert to fraction form
    10,384/22,916 = 22,916/x
  3. Step 3: Cross multiply
    10,384x = 22,916 × 22,916
  4. Step 4: Simplify right side
    10,384x = 525,143,056
  5. Step 5: Solve for x
    x = 525,143,056/10,384
  6. Step 6: Final answer
    x = 50,572.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.