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Finding the Third Proportional to 10,693 and 22,965

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Solution

The third proportional to 10,693 and 22,965 is: 49,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693 : 22,965 = 22,965 : x
  2. Step 2: Convert to fraction form
    10,693/22,965 = 22,965/x
  3. Step 3: Cross multiply
    10,693x = 22,965 × 22,965
  4. Step 4: Simplify right side
    10,693x = 527,391,225
  5. Step 5: Solve for x
    x = 527,391,225/10,693
  6. Step 6: Final answer
    x = 49,321.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.