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Finding the Third Proportional to 26,024 and 55,904

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Solution

The third proportional to 26,024 and 55,904 is: 120,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024 : 55,904 = 55,904 : x
  2. Step 2: Convert to fraction form
    26,024/55,904 = 55,904/x
  3. Step 3: Cross multiply
    26,024x = 55,904 × 55,904
  4. Step 4: Simplify right side
    26,024x = 3,125,257,216
  5. Step 5: Solve for x
    x = 3,125,257,216/26,024
  6. Step 6: Final answer
    x = 120,091.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.