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Finding the Third Proportional to 26,337 and 55,773

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Solution

The third proportional to 26,337 and 55,773 is: 118,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,337 : 55,773 = 55,773 : x
  2. Step 2: Convert to fraction form
    26,337/55,773 = 55,773/x
  3. Step 3: Cross multiply
    26,337x = 55,773 × 55,773
  4. Step 4: Simplify right side
    26,337x = 3,110,627,529
  5. Step 5: Solve for x
    x = 3,110,627,529/26,337
  6. Step 6: Final answer
    x = 118,108.65

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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.