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Finding the Third Proportional to 26,048 and 40,324

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Solution

The third proportional to 26,048 and 40,324 is: 62,424.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048 : 40,324 = 40,324 : x
  2. Step 2: Convert to fraction form
    26,048/40,324 = 40,324/x
  3. Step 3: Cross multiply
    26,048x = 40,324 × 40,324
  4. Step 4: Simplify right side
    26,048x = 1,626,024,976
  5. Step 5: Solve for x
    x = 1,626,024,976/26,048
  6. Step 6: Final answer
    x = 62,424.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.