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Finding the Third Proportional to 36,276 and 55,456

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Solution

The third proportional to 36,276 and 55,456 is: 84,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,276 : 55,456 = 55,456 : x
  2. Step 2: Convert to fraction form
    36,276/55,456 = 55,456/x
  3. Step 3: Cross multiply
    36,276x = 55,456 × 55,456
  4. Step 4: Simplify right side
    36,276x = 3,075,367,936
  5. Step 5: Solve for x
    x = 3,075,367,936/36,276
  6. Step 6: Final answer
    x = 84,776.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.