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Finding the Third Proportional to 26,838 and 36,444.94

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Solution

The third proportional to 26,838 and 36,444.94 is: 49,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838 : 36,444.94 = 36,444.94 : x
  2. Step 2: Convert to fraction form
    26,838/36,444.94 = 36,444.94/x
  3. Step 3: Cross multiply
    26,838x = 36,444.94 × 36,444.94
  4. Step 4: Simplify right side
    26,838x = 1,328,233,469.38
  5. Step 5: Solve for x
    x = 1,328,233,469.38/26,838
  6. Step 6: Final answer
    x = 49,490.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.