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Finding the Third Proportional to 10,638.84 and 22,917.94

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Solution

The third proportional to 10,638.84 and 22,917.94 is: 49,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.84 : 22,917.94 = 22,917.94 : x
  2. Step 2: Convert to fraction form
    10,638.84/22,917.94 = 22,917.94/x
  3. Step 3: Cross multiply
    10,638.84x = 22,917.94 × 22,917.94
  4. Step 4: Simplify right side
    10,638.84x = 525,231,859.25
  5. Step 5: Solve for x
    x = 525,231,859.25/10,638.84
  6. Step 6: Final answer
    x = 49,369.26

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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.