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Finding the Third Proportional to 26,826 and 39,455

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Solution

The third proportional to 26,826 and 39,455 is: 58,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826 : 39,455 = 39,455 : x
  2. Step 2: Convert to fraction form
    26,826/39,455 = 39,455/x
  3. Step 3: Cross multiply
    26,826x = 39,455 × 39,455
  4. Step 4: Simplify right side
    26,826x = 1,556,697,025
  5. Step 5: Solve for x
    x = 1,556,697,025/26,826
  6. Step 6: Final answer
    x = 58,029.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.