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Finding the Third Proportional to 26,426 and 55,039

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Solution

The third proportional to 26,426 and 55,039 is: 114,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,426 : 55,039 = 55,039 : x
  2. Step 2: Convert to fraction form
    26,426/55,039 = 55,039/x
  3. Step 3: Cross multiply
    26,426x = 55,039 × 55,039
  4. Step 4: Simplify right side
    26,426x = 3,029,291,521
  5. Step 5: Solve for x
    x = 3,029,291,521/26,426
  6. Step 6: Final answer
    x = 114,632.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.