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Finding the Third Proportional to 36,814 and 55,905

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Solution

The third proportional to 36,814 and 55,905 is: 84,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814 : 55,905 = 55,905 : x
  2. Step 2: Convert to fraction form
    36,814/55,905 = 55,905/x
  3. Step 3: Cross multiply
    36,814x = 55,905 × 55,905
  4. Step 4: Simplify right side
    36,814x = 3,125,369,025
  5. Step 5: Solve for x
    x = 3,125,369,025/36,814
  6. Step 6: Final answer
    x = 84,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.