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Finding the Third Proportional to 36,346 and 51,542

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Solution

The third proportional to 36,346 and 51,542 is: 73,091.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,346 : 51,542 = 51,542 : x
  2. Step 2: Convert to fraction form
    36,346/51,542 = 51,542/x
  3. Step 3: Cross multiply
    36,346x = 51,542 × 51,542
  4. Step 4: Simplify right side
    36,346x = 2,656,577,764
  5. Step 5: Solve for x
    x = 2,656,577,764/36,346
  6. Step 6: Final answer
    x = 73,091.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.