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Finding the Third Proportional to 26,035 and 55,341

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Solution

The third proportional to 26,035 and 55,341 is: 117,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,035 : 55,341 = 55,341 : x
  2. Step 2: Convert to fraction form
    26,035/55,341 = 55,341/x
  3. Step 3: Cross multiply
    26,035x = 55,341 × 55,341
  4. Step 4: Simplify right side
    26,035x = 3,062,626,281
  5. Step 5: Solve for x
    x = 3,062,626,281/26,035
  6. Step 6: Final answer
    x = 117,634.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.