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Finding the Third Proportional to 36,676 and 55,365

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Solution

The third proportional to 36,676 and 55,365 is: 83,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,676 : 55,365 = 55,365 : x
  2. Step 2: Convert to fraction form
    36,676/55,365 = 55,365/x
  3. Step 3: Cross multiply
    36,676x = 55,365 × 55,365
  4. Step 4: Simplify right side
    36,676x = 3,065,283,225
  5. Step 5: Solve for x
    x = 3,065,283,225/36,676
  6. Step 6: Final answer
    x = 83,577.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.