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Finding the Third Proportional to 26,026 and 55,292

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Solution

The third proportional to 26,026 and 55,292 is: 117,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026 : 55,292 = 55,292 : x
  2. Step 2: Convert to fraction form
    26,026/55,292 = 55,292/x
  3. Step 3: Cross multiply
    26,026x = 55,292 × 55,292
  4. Step 4: Simplify right side
    26,026x = 3,057,205,264
  5. Step 5: Solve for x
    x = 3,057,205,264/26,026
  6. Step 6: Final answer
    x = 117,467.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.